Math | Class 11

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    Chapter 1 Complex Numbers (75 videos) (Practice Test) (Exercises Exercise Answers)

      1.1: Introduction (Practice Test)
      Complex Number Introduction
    1. Complex Number Introduction
      11996 views
      2. Problem1-Complex Number Introduction
    2. Problem1-Complex Number Introduction
      3596 views
      3. Problem2-Complex Number Introduction
    3. Problem2-Complex Number Introduction
      3844 views
      4. Introduction to Complex Numbers
    4. Introduction to Complex Numbers
      3918 views
      5. Problem2-Definition of Complex Number
    5. Problem2-Definition of Complex Number
      1343 views
      6. Complex Numbers as Ordered Pairs of Real Numbers
    6. Complex Numbers as Ordered Pairs of Real Numbers
      2316 views
      7. Equality of Complex Number
    7. Equality of Complex Number
      2295 views
      8. Problem1-Equality of Complex Number
    8. Problem1-Equality of Complex Number
      1720 views
      9. Problem2-Equality of Complex Number
    9. Problem2-Equality of Complex Number
      770 views
      10. Conjugate of Complex Number
    10. Conjugate of Complex Number
      3570 views
      11. Problem1-Conjugate of Complex Number
    11. Problem1-Conjugate of Complex Number
      2298 views
      12. Problem2-Conjugate of Complex Number
    12. Problem2-Conjugate of Complex Number
      1489 views
      13. Problem3-Conjugate of Complex Number
    13. Problem3-Conjugate of Complex Number
      1014 views
      14. Addition of Complex Number
    14. Addition of Complex Number
      2981 views
      15. Problem1-Addition of Complex Number
    15. Problem1-Addition of Complex Number
      2446 views
      16. Problem2-Addition of Complex Number
    16. Problem2-Addition of Complex Number
      595 views
      17. Multiplication of Complex with Scalar Numbers
    17. Multiplication of Complex with Scalar Numbers
      2055 views
      18. Problem1-Multiplying Complex Numbers with Scalar
    18. Problem1-Multiplying Complex Numbers with Scalar
      1775 views
      19. Problem2-Scalar Multiplication of Complex Numbers
    19. Problem2-Scalar Multiplication of Complex Numbers
      602 views
      20. Multiplication of Complex Numbers
    20. Multiplication of Complex Numbers
      2194 views
      21. Problem1-Multiplication of Complex Numbers
    21. Problem1-Multiplication of Complex Numbers
      1670 views
      22. Problem2-Multiplication of Complex Numbers
    22. Problem2-Multiplication of Complex Numbers
      568 views
      23. Problem1-Subtraction of Complex Numbers
    23. Problem1-Subtraction of Complex Numbers
      1212 views
      24. Problem2-Subtraction of Complex Numbers
    24. Problem2-Subtraction of Complex Numbers
      506 views
      25. Division of Complex Numbers
    25. Division of Complex Numbers
      2003 views
      26. Problem1-Division of Complex Numbers
    26. Problem1-Division of Complex Numbers
      1732 views
      27. Problem2-Division of Complex Numbers
    27. Problem2-Division of Complex Numbers
      540 views
      28. Division Property of Complex Numbers
    28. Division Property of Complex Numbers
      1543 views
      29. Problem-Expressing complex number in standard form
    29. Problem-Expressing complex number in standard form
      1722 views
      30. Problem2-Division Property of Complex Numbers
    30. Problem2-Division Property of Complex Numbers
      542 views
      31. The Order Relations
    31. The Order Relations
      1020 views
      32. Problem-The Order Relations
    32. Problem-The Order Relations
      505 views
      33. Modulus of Complex Number
    33. Modulus of Complex Number
      1553 views
      34. Problem-Modulus of Complex Number
    34. Problem-Modulus of Complex Number
      1190 views
      1.2: Properties of Complex Numbers (Practice Test)
      Properties of Complex Number
    1. Properties of Complex Number
      2278 views
      2. Problem1-Properties of Complex Number
    2. Problem1-Properties of Complex Number
      1355 views
      3. Problem2-Properties of Complex Number
    3. Problem2-Properties of Complex Number
      604 views
      4. Reflexive & Symmetric Law of Complex Number
    4. Reflexive & Symmetric Law of Complex Number
      1611 views
      5. Problem1-Reflexive-Symmetric Law of Complex Number
    5. Problem1-Reflexive-Symmetric Law of Complex Number
      1226 views
      6. Problem2-Reflexive & Symmetric Law of Complex Number
    6. Problem2-Reflexive & Symmetric Law of Complex Number
      534 views
      7. Transitive Law of Complex Number
    7. Transitive Law of Complex Number
      1388 views
      8. Problem1-Transitive Law of Complex Number
    8. Problem1-Transitive Law of Complex Number
      1153 views
      9. Problem2-Transitive Law of Complex Number
    9. Problem2-Transitive Law of Complex Number
      478 views
      10. Theorems on Complex Number
    10. Theorems on Complex Number
      1272 views
      11. More on Theorems on Complex Numbers
    11. More on Theorems on Complex Numbers
      803 views
      12. Problem-Theorems on Complex Number
    12. Problem-Theorems on Complex Number
      556 views
      13. Vector Interpretation of Complex Numbers
    13. Vector Interpretation of Complex Numbers
      1457 views
      14. Problem-Vector Interpretation of Complex Numbers
    14. Problem-Vector Interpretation of Complex Numbers
      484 views
      15. The Triangle Inequality
    15. The Triangle Inequality
      925 views
      16. Problem-The Triangle Inequality
    16. Problem-The Triangle Inequality
      604 views
      17. Polar Form of a Complex Number
    17. Polar Form of a Complex Number
      1260 views
      18. Problem1-Polar Form of a Complex Number
    18. Problem1-Polar Form of a Complex Number
      572 views
      19. Problem2-Polar Form of a Complex Number
    19. Problem2-Polar Form of a Complex Number
      509 views
      20. Properties of the Arguments
    20. Properties of the Arguments
      666 views
      21. Problem-Properties of the Arguments
    21. Problem-Properties of the Arguments
      496 views
      22. Formula for Finding the Principal Argument
    22. Formula for Finding the Principal Argument
      2349 views
      23. Problem-Formula for Finding the Principal Argument
    23. Problem-Formula for Finding the Principal Argument
      963 views
      24. Real and Imaginary parts of Expression of Power n
    24. Real and Imaginary parts of Expression of Power n
      1874 views
      25. Problem-Real and Imaginary parts of Expression of Power n
    25. Problem-Real and Imaginary parts of Expression of Power n
      715 views
      26. Commutative Property of Complex Numbers
    26. Commutative Property of Complex Numbers
      1214 views
      27. Problem-Commutative Property of Complex Numbers
    27. Problem-Commutative Property of Complex Numbers
      466 views
      28. Associative Property of Complex Numbers
    28. Associative Property of Complex Numbers
      890 views
      29. Problem-Associative Property of Complex Numbers
    29. Problem-Associative Property of Complex Numbers
      493 views
      30. The Distributive Property of Complex Numbers
    30. The Distributive Property of Complex Numbers
      1054 views
      31. Problem-The Distributive Property of Complex Numbers
    31. Problem-The Distributive Property of Complex Numbers
      463 views
      32. Additive Identity and Multiplicative Identity of Complex Numbers
    32. Additive Identity and Multiplicative Identity of Complex Numbers
      1620 views
      33. Problem-Additive Identity and Multiplicative Identity of Complex Numbers
    33. Problem-Additive Identity and Multiplicative Identity of Complex Numbers
      584 views
      34. Additive Inverse and Multiplicative Inverse of Complex Numbers
    34. Additive Inverse and Multiplicative Inverse of Complex Numbers
      2598 views
      35. Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
    35. Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
      1182 views
      1.3: Solution of Equations (Practice Test)
      Solution of Simultaneous Linear Equations with Complex Co-efficients
    1. Solution of Simultaneous Linear Equations with Complex Co-efficients
      2278 views
      2. Problem-Solution of Simultaneous Linear Equations with Complex Co-efficients
    2. Problem-Solution of Simultaneous Linear Equations with Complex Co-efficients
      1208 views
      3. Expression of the Polynomial P ( z ) as a Product of Linear Factors
    3. Expression of the Polynomial P ( z ) as a Product of Linear Factors
      1377 views
      4. Problem-Expression of the Polynomial P ( z ) as a Product of Linear Factors
    4. Problem-Expression of the Polynomial P ( z ) as a Product of Linear Factors
      789 views
      5. Quadratic Equation of Complex Variables
    5. Quadratic Equation of Complex Variables
      775 views
      6. Problem-Quadratic Equation of Complex Variables
    6. Problem-Quadratic Equation of Complex Variables
      719 views

    Chapter 2 Matrices and Determinants (114 videos) (Practice Test) (Exercises Exercise Answers)

      2.1: Introduction (Practice Test)
      Introducing Matrix
    1. Introducing Matrix
      36598 views
      2. More on Introducing Matrix
    2. More on Introducing Matrix
      3625 views
      3. Problem-Introducing Matrix
    3. Problem-Introducing Matrix
      14050 views
      4. Order of Matrix
    4. Order of Matrix
      10702 views
      5. Problem-Order of Matrix
    5. Problem-Order of Matrix
      7790 views
      6. Location of elements in Matrix
    6. Location of elements in Matrix
      1815 views
      7. Problem-Location of elements in Matrix
    7. Problem-Location of elements in Matrix
      1279 views
      8. Equal Matrices
    8. Equal Matrices
      7813 views
      9. Problem1-Equal Matrices
    9. Problem1-Equal Matrices
      5711 views
      10. Problem2-Equal Matrices
    10. Problem2-Equal Matrices
      3091 views
      11. Row-Column Matrix
    11. Row-Column Matrix
      10233 views
      12. Problem-Row-Column Matrix
    12. Problem-Row-Column Matrix
      4853 views
      13. Square-Rectangular Matrix
    13. Square-Rectangular Matrix
      6255 views
      14. Problem-Square-Rectangular Matrix
    14. Problem-Square-Rectangular Matrix
      3522 views
      15. Practical Application of Matrices
    15. Practical Application of Matrices
      1786 views
      16. Negative of Matrix
    16. Negative of Matrix
      3473 views
      17. Problem-Negative of Matrix
    17. Problem-Negative of Matrix
      2472 views
      18. Diagonal Matrix
    18. Diagonal Matrix
      4740 views
      19. Problem-Diagonal Matrix
    19. Problem-Diagonal Matrix
      2480 views
      20. Scalar Matrix
    20. Scalar Matrix
      6740 views
      21. Problem-Scalar Matrix
    21. Problem-Scalar Matrix
      2171 views
      22. Identity Matrix
    22. Identity Matrix
      3307 views
      23. Problem-Identity Matrix
    23. Problem-Identity Matrix
      2096 views
      24. Null Matrix or Zero Matrix
    24. Null Matrix or Zero Matrix
      5155 views
      25. Problem-Null Matrix or Zero Matrix
    25. Problem-Null Matrix or Zero Matrix
      2898 views
      26. Transpose of Matrix
    26. Transpose of Matrix
      4496 views
      27. Problem-Transpose of Matrix
    27. Problem-Transpose of Matrix
      3502 views
      28. Triangular Matrices
    28. Triangular Matrices
      4232 views
      29. Problem-Triangular Matrices
    29. Problem-Triangular Matrices
      921 views
      30. Symmetric & Skew-Symmetric Matrices
    30. Symmetric & Skew-Symmetric Matrices
      5957 views
      31. Problem1-Symmetric & Skew-Symmetric Matrices
    31. Problem1-Symmetric & Skew-Symmetric Matrices
      4625 views
      32. Problem2-Symmetric & Skew-Symmetric Matrices
    32. Problem2-Symmetric & Skew-Symmetric Matrices
      856 views
      2.2: Algebra of Matrices (Practice Test)
      Addition of Matrices
    1. Addition of Matrices
      4594 views
      2. Problem-Addition of Matrices
    2. Problem-Addition of Matrices
      2751 views
      3. Subtraction of Matrices
    3. Subtraction of Matrices
      2574 views
      4. Problem-Subtraction of Matrices
    4. Problem-Subtraction of Matrices
      1949 views
      5. Multiplication of Matrix by Real Number
    5. Multiplication of Matrix by Real Number
      3354 views
      6. Problem-Multiplication of Matrix by Real Number
    6. Problem-Multiplication of Matrix by Real Number
      2039 views
      7. Multiplication of Matrices
    7. Multiplication of Matrices
      5440 views
      8. More on Multiplication of Matrices
    8. More on Multiplication of Matrices
      572 views
      9. Problem1-Multiplication of Matrices
    9. Problem1-Multiplication of Matrices
      3003 views
      10. Problem3-Multiplication of Matrices
    10. Problem3-Multiplication of Matrices
      525 views
      11. Commutative Law Under Addition for Matrices
    11. Commutative Law Under Addition for Matrices
      3496 views
      12. Problem-Commutative Law Under Addition for Matrices
    12. Problem-Commutative Law Under Addition for Matrices
      1744 views
      13. Commutative Law of Multiplication of Matrices
    13. Commutative Law of Multiplication of Matrices
      1792 views
      14. Problem-Commutative Law of Multiplication of Matrices
    14. Problem-Commutative Law of Multiplication of Matrices
      1207 views
      15. Transpose of Product of Matrices
    15. Transpose of Product of Matrices
      1789 views
      16. Problem- Matrices Law for Whole Transpose of Product
    16. Problem- Matrices Law for Whole Transpose of Product
      1406 views
      2.3: Determinants (Practice Test)
      Determinant of 2-by-2 Matrix
    1. Determinant of 2-by-2 Matrix
      4896 views
      2. Problem1-Singular and Non-Singular Matrix
    2. Problem1-Singular and Non-Singular Matrix
      2860 views
      3. Minor of an Element of a Matrix and Its Determinant
    3. Minor of an Element of a Matrix and Its Determinant
      1986 views
      4. Problem-Minor of an Element of a Matrix or Its Determinant
    4. Problem-Minor of an Element of a Matrix or Its Determinant
      863 views
      5. Cofactor of an Element of a Matrix
    5. Cofactor of an Element of a Matrix
      2135 views
      6. Problem-Cofactor of an Element of a Matrix
    6. Problem-Cofactor of an Element of a Matrix
      731 views
      7. Determinant of a Sqaure Matrix of Order 3 or greater
    7. Determinant of a Sqaure Matrix of Order 3 or greater
      1607 views
      8. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
    8. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
      960 views
      9. Singular and Non-Singular Matrix
    9. Singular and Non-Singular Matrix
      3309 views
      10. Problem-Singular and Non-Singular Matrix
    10. Problem-Singular and Non-Singular Matrix
      1494 views
      11. Adjoint of Matrix
    11. Adjoint of Matrix
      3804 views
      12. Problem-Adjoint of Matrix
    12. Problem-Adjoint of Matrix
      2789 views
      13. Adjoint of a Square Matrix of Order n = 3 or n > 3
    13. Adjoint of a Square Matrix of Order n = 3 or n > 3
      722 views
      14. Problem-Adjoint of a Square Matrix of Order n = 3 or n > 3
    14. Problem-Adjoint of a Square Matrix of Order n = 3 or n > 3
      497 views
      15. Matrix Inverse Using Adjoint
    15. Matrix Inverse Using Adjoint
      4424 views
      16. More on Matrix Inverse Using Adjoint
    16. More on Matrix Inverse Using Adjoint
      874 views
      17. Problem1-Matrix Inverse Using Adjoint
    17. Problem1-Matrix Inverse Using Adjoint
      2520 views
      18. Problem2-Matrix Inverse Using Adjoint
    18. Problem2-Matrix Inverse Using Adjoint
      584 views
      19. Problem3-Matrix Inverse Using Adjoint
    19. Problem3-Matrix Inverse Using Adjoint
      382 views
      20. Problem4-Matrix Inverse Using Adjoint
    20. Problem4-Matrix Inverse Using Adjoint
      399 views
      2.4: Properties of Determinants (Practice Test)
      Properties of Determinants
    1. Properties of Determinants
      1893 views
      2. More on Properties of Determinants
    2. More on Properties of Determinants
      1045 views
      3. Problem 1-Properties of Determinants
    3. Problem 1-Properties of Determinants
      1191 views
      4. Problem 2-Properties of Determinants
    4. Problem 2-Properties of Determinants
      688 views
      5. Problem 3-Properties of Determinants
    5. Problem 3-Properties of Determinants
      582 views
      6. Problem 4-Properties of Determinants
    6. Problem 4-Properties of Determinants
      739 views
      7. Properties of Determinants of Order Three
    7. Properties of Determinants of Order Three
      986 views
      8. Problem-Properties of Determinants of Order Three
    8. Problem-Properties of Determinants of Order Three
      674 views
      9. Alternate Method For Expanding a Third Order Determinant
    9. Alternate Method For Expanding a Third Order Determinant
      885 views
      10. Problem-Alternate Method For Expanding a Third Order Determinant
    10. Problem-Alternate Method For Expanding a Third Order Determinant
      490 views
      2.5: Row and Column Operations (Practice Test)
      Deriving a Method For Determining Inverses
    1. Deriving a Method For Determining Inverses
      1135 views
      2. Problem-Deriving a Method For Determining Inverses
    2. Problem-Deriving a Method For Determining Inverses
      465 views
      3. Inverse of Matrix by Row Operation
    3. Inverse of Matrix by Row Operation
      1299 views
      4. Problem-Inverse of Matrix by Row Operation
    4. Problem-Inverse of Matrix by Row Operation
      468 views
      5. More on Problem- Inverse of Matrix by Row Operation
    5. More on Problem- Inverse of Matrix by Row Operation
      367 views
      6. Inverse of Matrix by Column Operation
    6. Inverse of Matrix by Column Operation
      1421 views
      7. Problem-Inverse of Matrix by Column Operation
    7. Problem-Inverse of Matrix by Column Operation
      334 views
      8. More on Problem-Inverse of Matrix by Column Operation
    8. More on Problem-Inverse of Matrix by Column Operation
      331 views
      9. Echelon and Reduced Echelon Form of Matrix
    9. Echelon and Reduced Echelon Form of Matrix
      6143 views
      10. Problem-Echelon and Reduced Echelon Form of Matrix
    10. Problem-Echelon and Reduced Echelon Form of Matrix
      1609 views
      11. Echelon Form of Matrix
    11. Echelon Form of Matrix
      1342 views
      12. Problem-Echelon Form of Matrix
    12. Problem-Echelon Form of Matrix
      683 views
      13. Reduced Echelon Form of Matrix
    13. Reduced Echelon Form of Matrix
      792 views
      14. Problem-Reduced Echelon Form of Matrix
    14. Problem-Reduced Echelon Form of Matrix
      514 views
      15. Rank of a Matrix
    15. Rank of a Matrix
      1486 views
      16. Problem-Rank of a Matrix
    16. Problem-Rank of a Matrix
      631 views
      2.6: System of Linear Equations (Practice Test)
      System of Linear Equations
    1. System of Linear Equations
      1357 views
      2. More on System of Linear Equations
    2. More on System of Linear Equations
      591 views
      3. Problem-System of Linear Equations
    3. Problem-System of Linear Equations
      579 views
      4. Consistency and Inconsistency of a System
    4. Consistency and Inconsistency of a System
      865 views
      5. Problem-Consistency and Inconsistency of a System
    5. Problem-Consistency and Inconsistency of a System
      567 views
      6. Solving a System of Three Non-Homogeneous Linear Equations
    6. Solving a System of Three Non-Homogeneous Linear Equations
      723 views
      7. Problem-Solving a System of Three Non-Homogeneous Linear Equations
    7. Problem-Solving a System of Three Non-Homogeneous Linear Equations
      446 views
      2.7: Solution of System of Linear Equations (Practice Test)
      Solution of Homogeneous Linear Equations
    1. Solution of Homogeneous Linear Equations
      1567 views
      2. More on Solution of Homogeneous Linear Equations
    2. More on Solution of Homogeneous Linear Equations
      742 views
      3. Problem-Solution of Homogeneous Linear Equations
    3. Problem-Solution of Homogeneous Linear Equations
      602 views
      4. More on Problem-Solution of Homogeneous Linear Equations
    4. More on Problem-Solution of Homogeneous Linear Equations
      489 views
      5. Solution of System of Linear Equations by Row Operation
    5. Solution of System of Linear Equations by Row Operation
      711 views
      6. Problem-Solution of System of Linear Equations by Row Operation
    6. Problem-Solution of System of Linear Equations by Row Operation
      337 views
      7. Problem-More on Solution of System of Linear Equations by Row Operation
    7. Problem-More on Solution of System of Linear Equations by Row Operation
      288 views
      8. Solving Simultaneous Equations-Inversion Method
    8. Solving Simultaneous Equations-Inversion Method
      10163 views
      9. Problem-Solving Simultaneous Equations-Inversion Method
    9. Problem-Solving Simultaneous Equations-Inversion Method
      1546 views
      10. More on Solving Simultaneous Equations-Inversion Method
    10. More on Solving Simultaneous Equations-Inversion Method
      74 views
      11. Solving Simultaneous Equations-Cramers Rule
    11. Solving Simultaneous Equations-Cramers Rule
      8952 views
      12. Problem1-Solving Simultaneous Equations-Cramers Rule
    12. Problem1-Solving Simultaneous Equations-Cramers Rule
      580 views
      13. Problem2-Solving Simultaneous Equations-Cramers Rule
    13. Problem2-Solving Simultaneous Equations-Cramers Rule
      406 views

    Chapter 3 Vectors (103 videos) (Practice Test) (Exercises Exercise Answers)

      3.1: Introduction (Practice Test)
      Scalar and Vector Quantities
    1. Scalar and Vector Quantities
      4744 views
      2. Problem-Scalar and Vector Quantities
    2. Problem-Scalar and Vector Quantities
      1988 views
      3. Terminologies and Notations of Vectors
    3. Terminologies and Notations of Vectors
      2088 views
      4. Vectors which are Opposite
    4. Vectors which are Opposite
      1132 views
      5. Problem-Vectors which are Opposite
    5. Problem-Vectors which are Opposite
      705 views
      6. Zero Vectors
    6. Zero Vectors
      884 views
      7. Parallel Vectors
    7. Parallel Vectors
      635 views
      8. Problem-Parallel Vectors
    8. Problem-Parallel Vectors
      472 views
      9. Position Vectors
    9. Position Vectors
      1657 views
      10. Problem-Position Vectors
    10. Problem-Position Vectors
      540 views
      11. Components of a Vector
    11. Components of a Vector
      610 views
      12. Equal Vectors
    12. Equal Vectors
      1850 views
      13. Addition of Vectors
    13. Addition of Vectors
      2680 views
      14. Problem-Addition of Vectors
    14. Problem-Addition of Vectors
      606 views
      15. Vector Addition is Associative
    15. Vector Addition is Associative
      539 views
      16. Problem-Vector Addition is Associative
    16. Problem-Vector Addition is Associative
      490 views
      17. Scalar Multiple of a Vector
    17. Scalar Multiple of a Vector
      970 views
      18. Problem-Scalar Multiple of a Vector
    18. Problem-Scalar Multiple of a Vector
      486 views
      19. Subtraction of Vectors
    19. Subtraction of Vectors
      862 views
      20. Problem-Subtraction of Vectors
    20. Problem-Subtraction of Vectors
      421 views
      21. Expression of a Given Vector in Terms of two Vectors
    21. Expression of a Given Vector in Terms of two Vectors
      943 views
      22. Problem-Expression of a Given Vector in Terms of two Vectors
    22. Problem-Expression of a Given Vector in Terms of two Vectors
      372 views
      23. Notation for Representing Vectors in Plane
    23. Notation for Representing Vectors in Plane
      487 views
      24. Problem-Notation for Representing Vectors in Plane
    24. Problem-Notation for Representing Vectors in Plane
      345 views
      25. Properties of Vectors in Plane
    25. Properties of Vectors in Plane
      492 views
      26. More on Properties of Vectors in Plane
    26. More on Properties of Vectors in Plane
      350 views
      27. Properties of Magnitude of Vector
    27. Properties of Magnitude of Vector
      1081 views
      28. Problem-Properties of Magnitude of Vector
    28. Problem-Properties of Magnitude of Vector
      662 views
      29. A Unit Vector in the Direction of Another Vector
    29. A Unit Vector in the Direction of Another Vector
      633 views
      30. Problem-A Unit Vector in the Direction of Another Vector
    30. Problem-A Unit Vector in the Direction of Another Vector
      446 views
      31. Notation for Vectors in Coordinate System
    31. Notation for Vectors in Coordinate System
      427 views
      32. Problem-Notation for Vectors in Coordinate System
    32. Problem-Notation for Vectors in Coordinate System
      357 views
      33. Mid-Point Theorem By Vectors
    33. Mid-Point Theorem By Vectors
      835 views
      34. Diagonals of Parallelogram Bisect Each Other by Vectors
    34. Diagonals of Parallelogram Bisect Each Other by Vectors
      1976 views
      35. Ratio Theorem By Vectors
    35. Ratio Theorem By Vectors
      939 views
      36. Problem-Ratio Theorem By Vectors
    36. Problem-Ratio Theorem By Vectors
      421 views
      3.2: Vectors in Space (Practice Test)
      Concept of Vector in Space
    1. Concept of Vector in Space
      741 views
      2. More on Vectors in Space
    2. More on Vectors in Space
      448 views
      3. Problem-Concept of Vector in Space
    3. Problem-Concept of Vector in Space
      456 views
      4. Properties of Vectors
    4. Properties of Vectors
      490 views
      5. Problem-Properties of Vectors
    5. Problem-Properties of Vectors
      254 views
      6. Vectors Addition in Space
    6. Vectors Addition in Space
      248 views
      7. Problem-Vectors Addition in Space
    7. Problem-Vectors Addition in Space
      202 views
      8. Scalar Multiplication in Space
    8. Scalar Multiplication in Space
      247 views
      9. Problem-Scalar Multiplication in Space
    9. Problem-Scalar Multiplication in Space
      214 views
      10. Notation of Vectors in Space
    10. Notation of Vectors in Space
      272 views
      11. Problem-Notation of Vectors in Space
    11. Problem-Notation of Vectors in Space
      249 views
      12. The Ratio Formula in Vector
    12. The Ratio Formula in Vector
      912 views
      13. Problem1-The Ratio Formula in Vector
    13. Problem1-The Ratio Formula in Vector
      528 views
      14. Problem2-The Ratio Formula in Vector
    14. Problem2-The Ratio Formula in Vector
      297 views
      15. Introducing Vector Geometry
    15. Introducing Vector Geometry
      1394 views
      16. Problem-Introducing Vector Geometry
    16. Problem-Introducing Vector Geometry
      523 views
      17. Distance Between Two Points in Space
    17. Distance Between Two Points in Space
      586 views
      18. Problem-Distance Between Two Points in Space
    18. Problem-Distance Between Two Points in Space
      397 views
      3.3: Dot or Scalar Product (Practice Test)
      Scalar Product of Two Vectors
    1. Scalar Product of Two Vectors
      897 views
      2. Problem-Scalar Product of Two Vectors
    2. Problem-Scalar Product of Two Vectors
      435 views
      3. Perpendicular Vectors
    3. Perpendicular Vectors
      305 views
      4. Problem-Perpendicular Vectors
    4. Problem-Perpendicular Vectors
      300 views
      5. Parallel Vectors
    5. Parallel Vectors
      635 views
      6. Problem-Parallel Vectors
    6. Problem-Parallel Vectors
      472 views
      7. Scalar Product of Vectors in Their Component Form
    7. Scalar Product of Vectors in Their Component Form
      302 views
      8. Problem-Scalar Product of Vectors in Their Component Form
    8. Problem-Scalar Product of Vectors in Their Component Form
      253 views
      9. Properties of Scalar Product
    9. Properties of Scalar Product
      763 views
      10. More on Properties of Scalar Product
    10. More on Properties of Scalar Product
      279 views
      11. Problem-Properties of Scalar Product
    11. Problem-Properties of Scalar Product
      287 views
      12. Direction Angles and Direction Cosines of Vector
    12. Direction Angles and Direction Cosines of Vector
      1291 views
      13. Problem-Direction Angles and Direction Cosines of Vector
    13. Problem-Direction Angles and Direction Cosines of Vector
      567 views
      14. Direction Numbers or Direction Ratios
    14. Direction Numbers or Direction Ratios
      771 views
      15. Problem-Direction Numbers or Direction Ratios
    15. Problem-Direction Numbers or Direction Ratios
      492 views
      16. Angle Between Two Vectors
    16. Angle Between Two Vectors
      451 views
      17. Problem-Angle Between Two Vectors
    17. Problem-Angle Between Two Vectors
      295 views
      18. Projection of One Vector Upon Another Vector
    18. Projection of One Vector Upon Another Vector
      560 views
      19. Problem-Projection of One Vector Upon Another Vector
    19. Problem-Projection of One Vector Upon Another Vector
      317 views
      20. Application of Scalar Product
    20. Application of Scalar Product
      518 views
      21. Problem-Application of Scalar Product
    21. Problem-Application of Scalar Product
      249 views
      3.4: The Cross or Vector Product of Two Vectors (Practice Test)
      Cross Product of Two Vectors
    1. Cross Product of Two Vectors
      927 views
      2. More on Cross Product of Two Vectors
    2. More on Cross Product of Two Vectors
      413 views
      3. Problem-Cross Product of Two Vectors
    3. Problem-Cross Product of Two Vectors
      466 views
      4. Derivation of Useful Results of Cross Product
    4. Derivation of Useful Results of Cross Product
      342 views
      5. Problem-Derivation of Useful Results of Cross Product
    5. Problem-Derivation of Useful Results of Cross Product
      256 views
      6. Expression of Cross Product in Terms of Components
    6. Expression of Cross Product in Terms of Components
      303 views
      7. More on Expression of Cross Product in Terms of Components
    7. More on Expression of Cross Product in Terms of Components
      273 views
      8. Problem-Expression of Cross Product in Terms of Components
    8. Problem-Expression of Cross Product in Terms of Components
      238 views
      9. Properties of Cross Product
    9. Properties of Cross Product
      386 views
      10. More on Properties of Cross Product
    10. More on Properties of Cross Product
      253 views
      11. Problem-Properties of Cross Product
    11. Problem-Properties of Cross Product
      211 views
      12. Vectors Application to Geometry
    12. Vectors Application to Geometry
      529 views
      13. Problem1-Vectors Application to Geometry
    13. Problem1-Vectors Application to Geometry
      311 views
      14. Problem2-Vectors Application to Geometry
    14. Problem2-Vectors Application to Geometry
      271 views
      15. Moment of Force
    15. Moment of Force
      643 views
      16. Problem-Moment of Force
    16. Problem-Moment of Force
      275 views
      17. Area of Parallelogram by Vectors
    17. Area of Parallelogram by Vectors
      521 views
      18. Area of Triangle by Vectors
    18. Area of Triangle by Vectors
      520 views
      3.5: Scalar Triple Product of Vectors (Practice Test)
      Scalar Triple Product
    1. Scalar Triple Product
      1734 views
      2. Problem-Scalar Triple Product
    2. Problem-Scalar Triple Product
      431 views
      3. Analytical Expression of Triple Product
    3. Analytical Expression of Triple Product
      330 views
      4. Problem-Analytical Expression of Triple Product
    4. Problem-Analytical Expression of Triple Product
      274 views
      5. Volume of Parallelepiped by Triple Product
    5. Volume of Parallelepiped by Triple Product
      803 views
      6. Problem-Volume of Parallelepiped by Triple Product
    6. Problem-Volume of Parallelepiped by Triple Product
      271 views
      7. Volume of Tetrahedron by Triple Product
    7. Volume of Tetrahedron by Triple Product
      3266 views
      8. Problem-Volume of Tetrahedron by Triple Product
    8. Problem-Volume of Tetrahedron by Triple Product
      415 views
      9. Properties of Scalar Triple Product
    9. Properties of Scalar Triple Product
      376 views
      10. Problem-Properties of Scalar Triple Product
    10. Problem-Properties of Scalar Triple Product
      342 views

    Chapter 4 Sequences and Series (56 videos) (Practice Test) (Exercises Exercise Answers)

      4.1: Introduction (Practice Test)
      Introduction to Sequence and Series
    1. Introduction to Sequence and Series
      9207 views
      2. Problem-Introduction to Sequence and Series
    2. Problem-Introduction to Sequence and Series
      4119 views
      3. General Term in a Number Sequence
    3. General Term in a Number Sequence
      1991 views
      4. Problem-General Term in a Number Sequence
    4. Problem-General Term in a Number Sequence
      1458 views
      4.2: Arithmetic Sequence (A.P) (Practice Test)
      Concept of Arithmetic Progression
    1. Concept of Arithmetic Progression
      4717 views
      2. Problem-Concept of Arithmetic Progression
    2. Problem-Concept of Arithmetic Progression
      2716 views
      4.3: Arithmetic Mean (A.M) (Practice Test)
      Concept of Arithmetic Mean
    1. Concept of Arithmetic Mean
      2924 views
      2. Problem-Concept of Arithmetic Mean
    2. Problem-Concept of Arithmetic Mean
      1581 views
      3. n Arithmetic Means Between Two Given Numbers
    3. n Arithmetic Means Between Two Given Numbers
      4664 views
      4.4: Arithmetic Series (Practice Test)
      Concept of Series
    1. Concept of Series
      1872 views
      2. Problem1-Concept of Series
    2. Problem1-Concept of Series
      1517 views
      3. Problem2-Concept of Series
    3. Problem2-Concept of Series
      1005 views
      4. Sum of First n Terms of an Arithmetic Series
    4. Sum of First n Terms of an Arithmetic Series
      1609 views
      5. Problem-Sum of First n Terms of an Arithmetic Series
    5. Problem-Sum of First n Terms of an Arithmetic Series
      1004 views
      6. To Find the Sum of n A.M
    6. To Find the Sum of n A.M
      1142 views
      7. Problem-To Find the Sum of n A.M
    7. Problem-To Find the Sum of n A.M
      792 views
      8. To Find the Sum of p A.M
    8. To Find the Sum of p A.M
      659 views
      9. Problem-To Find the Sum of p A.M
    9. Problem-To Find the Sum of p A.M
      593 views
      10. Word Problems on Arithmetic Progression
    10. Word Problems on Arithmetic Progression
      891 views
      11. Solving Word Problem on Arithmetic Progression
    11. Solving Word Problem on Arithmetic Progression
      598 views
      12. Problem1-Word Problems on Arithmetic Progression
    12. Problem1-Word Problems on Arithmetic Progression
      690 views
      13. Problem2-Word Problems on Arithmetic Progression
    13. Problem2-Word Problems on Arithmetic Progression
      535 views
      4.5: Geometric Sequence (Practice Test)
      Concept of Geometric Progressions
    1. Concept of Geometric Progressions
      2263 views
      2. Problem1-Concept of Geometric Progressions
    2. Problem1-Concept of Geometric Progressions
      1213 views
      3. Problem2-Concept of Geometric Progressions
    3. Problem2-Concept of Geometric Progressions
      963 views
      4.6: Geometric Means (G.Ms) (Practice Test)
      Concept of Geometric Means
    1. Concept of Geometric Means
      2099 views
      2. Problem-Concept of Geometric Means
    2. Problem-Concept of Geometric Means
      795 views
      3. n Geometric Means Between Two Given Numbers
    3. n Geometric Means Between Two Given Numbers
      1379 views
      4. Problem-n Geometric Means Between Two Given Numbers
    4. Problem-n Geometric Means Between Two Given Numbers
      684 views
      4.7: Geometric Series (Practice Test)
      Introduction to Geometric Series
    1. Introduction to Geometric Series
      1123 views
      2. Problem-Introduction to Geometric Series
    2. Problem-Introduction to Geometric Series
      790 views
      3. Sum of n Terms of a Geometric Series
    3. Sum of n Terms of a Geometric Series
      1116 views
      4. Problem-Sum of n Terms of a Geometric Series
    4. Problem-Sum of n Terms of a Geometric Series
      711 views
      5. The Infinite Geometric Series
    5. The Infinite Geometric Series
      1867 views
      6. More on The Infinite Geometric Series
    6. More on The Infinite Geometric Series
      682 views
      7. Problem1-The Infinite Geometric Series
    7. Problem1-The Infinite Geometric Series
      530 views
      8. Problem2-The Infinite Geometric Series
    8. Problem2-The Infinite Geometric Series
      496 views
      9. Recurring Decimals
    9. Recurring Decimals
      608 views
      10. Word Problems on Geometric Series
    10. Word Problems on Geometric Series
      929 views
      11. More on Word Problems on Geometric Series
    11. More on Word Problems on Geometric Series
      487 views
      12. Problem1-Word Problems on Geometric Series
    12. Problem1-Word Problems on Geometric Series
      474 views
      13. Problem2-Word Problems on Geometric Series
    13. Problem2-Word Problems on Geometric Series
      384 views
      14. Problem3-Word Problems on Geometric Series
    14. Problem3-Word Problems on Geometric Series
      381 views
      4.8: Harmonic Sequence (Practice Test)
      Concept of Harmonic Progression
    1. Concept of Harmonic Progression
      1402 views
      2. Problem-Concept of Harmonic Progression
    2. Problem-Concept of Harmonic Progression
      683 views
      3. General Term of Harmonic Progression
    3. General Term of Harmonic Progression
      624 views
      4. Problem-General Term of Harmonic Progression
    4. Problem-General Term of Harmonic Progression
      466 views
      5. The Characteristic Relation for H.P
    5. The Characteristic Relation for H.P
      446 views
      6. Problem-The Characteristic Relation for H.P
    6. Problem-The Characteristic Relation for H.P
      369 views
      4.9: Harmonic Means ( H.Ms ) (Practice Test)
      Concept of Harmonic Mean
    1. Concept of Harmonic Mean
      1978 views
      2. Problem-Concept of Harmonic Mean
    2. Problem-Concept of Harmonic Mean
      384 views
      3. n Harmonic Means Between Two Numbers
    3. n Harmonic Means Between Two Numbers
      1894 views
      4. Problem-n Harmonic Means Between Two Numbers
    4. Problem-n Harmonic Means Between Two Numbers
      540 views
      5. Relations Between A.M, G.M & H.M
    5. Relations Between A.M, G.M & H.M
      1603 views
      6. More on Relations Between A.M, G.M & H.M
    6. More on Relations Between A.M, G.M & H.M
      512 views
      7. Problem-Relations Between A.M, G.M & H.M
    7. Problem-Relations Between A.M, G.M & H.M
      617 views

    Chapter 5 Miscellaneous Series (31 videos) (Practice Test)

      5.1: Introduction (Practice Test)
      Sigma Notation ( or Summation Notation )
    1. Sigma Notation ( or Summation Notation )
      2003 views
      2. Problem 1-Sigma Notation ( or Summation Notation )
    2. Problem 1-Sigma Notation ( or Summation Notation )
      1364 views
      3. Problem 2 -Sigma Notation ( or Summation Notation )
    3. Problem 2 -Sigma Notation ( or Summation Notation )
      1056 views
      4. Sum of Positive Integral Powers of Natural Numbers
    4. Sum of Positive Integral Powers of Natural Numbers
      2877 views
      5. Alternate Formula For sum of n Numbers
    5. Alternate Formula For sum of n Numbers
      1381 views
      6. Problem-Alternate Formula For sum of n Numbers
    6. Problem-Alternate Formula For sum of n Numbers
      816 views
      7. Alternate Formula For Sum of n Squares
    7. Alternate Formula For Sum of n Squares
      715 views
      8. More on Alternate Formula For Sum of n Squares
    8. More on Alternate Formula For Sum of n Squares
      522 views
      9. Problem-Alternate Formula For Sum of n Squares
    9. Problem-Alternate Formula For Sum of n Squares
      522 views
      10. Alternate Formula For Sum of n Cubes
    10. Alternate Formula For Sum of n Cubes
      522 views
      11. More on Alternate Formula For Sum of n Cubes
    11. More on Alternate Formula For Sum of n Cubes
      395 views
      12. Problem1-Alternate Formula For Sum of n Cubes
    12. Problem1-Alternate Formula For Sum of n Cubes
      442 views
      13. Problem2-Alternate Formula For Sum of n Cubes
    13. Problem2-Alternate Formula For Sum of n Cubes
      372 views
      5.2: Arithmetico-Geometric Series (Practice Test)
      Arithmetical-Geometric Series
    1. Arithmetical-Geometric Series
      937 views
      2. Problem-Arithmetical-Geometric Series
    2. Problem-Arithmetical-Geometric Series
      605 views
      3. Sum of n Terms of Arithmetical-Geometric Series
    3. Sum of n Terms of Arithmetical-Geometric Series
      1053 views
      4. More on Sum of n Terms of Arithmetical-Geometric Series
    4. More on Sum of n Terms of Arithmetical-Geometric Series
      561 views
      5. Further on Sum of n Terms of Arithmetical-Geometric Series
    5. Further on Sum of n Terms of Arithmetical-Geometric Series
      454 views
      6. Problem-Sum of n Terms of Arithmetical-Geometric Series
    6. Problem-Sum of n Terms of Arithmetical-Geometric Series
      499 views
      7. Sum to Infinity of Arithmetico-Geometric Series
    7. Sum to Infinity of Arithmetico-Geometric Series
      815 views
      8. Problem-Sum to Infinity of Arithmetico-Geometric Series
    8. Problem-Sum to Infinity of Arithmetico-Geometric Series
      694 views
      5.3: Method of Differences (Practice Test)
      The Method of Differences
    1. The Method of Differences
      920 views
      2. Problem-The Method of Differences
    2. Problem-The Method of Differences
      588 views
      5.4: Summation by the Method of Partial Fractions (Practice Test)
      Introduction to Reciprocal Series
    1. Introduction to Reciprocal Series
      604 views
      2. More on Introduction to Reciprocal Series1
    2. More on Introduction to Reciprocal Series1
      374 views
      3. More on Introduction to Reciprocal Series2
    3. More on Introduction to Reciprocal Series2
      316 views
      4. More on Introduction to Reciprocal Series3
    4. More on Introduction to Reciprocal Series3
      306 views
      5. Problem-Introduction to Reciprocal Series1
    5. Problem-Introduction to Reciprocal Series1
      318 views
      6. Problem-Introduction to Reciprocal Series2
    6. Problem-Introduction to Reciprocal Series2
      297 views
      7. Summation of Series By Partial Fractions
    7. Summation of Series By Partial Fractions
      697 views
      8. Problem-Summation of Series By Partial Fractions
    8. Problem-Summation of Series By Partial Fractions
      478 views

    Chapter 6 Permutation, Combination and Probability (49 videos) (Practice Test) (Exercises Exercise Answers)

      6.1: Introduction (Practice Test)
      Introduction to Factorial Notation
    1. Introduction to Factorial Notation
      3374 views
      2. Problem-Introduction to Factorial Notation
    2. Problem-Introduction to Factorial Notation
      2855 views
      6.2: Permutation (Practice Test)
      The Counting Principles
    1. The Counting Principles
      5564 views
      2. Introduction to Permutation
    2. Introduction to Permutation
      6193 views
      3. Problem-Introduction to Permutation
    3. Problem-Introduction to Permutation
      4286 views
      4. Permutation of Things Not All Different
    4. Permutation of Things Not All Different
      3782 views
      5. Problem-Permutation of Things Not All Different
    5. Problem-Permutation of Things Not All Different
      2366 views
      6. Circular Permutation
    6. Circular Permutation
      2918 views
      7. Problem-Circular Permutation
    7. Problem-Circular Permutation
      2077 views
      6.3: Combination (Practice Test)
      Introduction to Combinations
    1. Introduction to Combinations
      3175 views
      2. Problem1-Introduction to Combinations
    2. Problem1-Introduction to Combinations
      1744 views
      3. Problem2-Introduction to Combinations
    3. Problem2-Introduction to Combinations
      1279 views
      4. Theorems on Combination
    4. Theorems on Combination
      679 views
      5. Complementary Combination
    5. Complementary Combination
      1674 views
      6. Problem1-Complementary Combination
    6. Problem1-Complementary Combination
      1125 views
      7. Problem2-Complementary Combination
    7. Problem2-Complementary Combination
      1033 views
      6.4: Probability (Practice Test)
      Introduction to Probability
    1. Introduction to Probability
      2491 views
      2. Problem-Introduction to Probabillity
    2. Problem-Introduction to Probabillity
      1618 views
      3. Theoratical Probability
    3. Theoratical Probability
      326 views
      4. Laws of Probability
    4. Laws of Probability
      2232 views
      5. Experiments and Sample Space
    5. Experiments and Sample Space
      1601 views
      6. Problem-Experiments and Sample Space
    6. Problem-Experiments and Sample Space
      830 views
      7. Definition of Probability
    7. Definition of Probability
      2434 views
      8. Problem-Definition of Probability
    8. Problem-Definition of Probability
      999 views
      9. Basic Terminology
    9. Basic Terminology
      1131 views
      10. Probability as Long Term Relative Frequency
    10. Probability as Long Term Relative Frequency
      1158 views
      11. Problem Solving Strategies in Probability
    11. Problem Solving Strategies in Probability
      801 views
      12. Probability and Venn Diagrams
    12. Probability and Venn Diagrams
      584 views
      13. More on Probability and Venn Diagrams
    13. More on Probability and Venn Diagrams
      506 views
      14. Possible Outcomes in the Sample Space
    14. Possible Outcomes in the Sample Space
      890 views
      15. Problem-Possible Outcomes in the Sample Space
    15. Problem-Possible Outcomes in the Sample Space
      480 views
      16. Simple Combined Events and Possibility Diagrams
    16. Simple Combined Events and Possibility Diagrams
      834 views
      17. Problem-Simple Combined Events and Possibility Diagrams
    17. Problem-Simple Combined Events and Possibility Diagrams
      418 views
      18. Simple Combined Events and Tree Diagrams
    18. Simple Combined Events and Tree Diagrams
      843 views
      19. Addition of Probabilities and Mutually Exclusive Events
    19. Addition of Probabilities and Mutually Exclusive Events
      1288 views
      20. Problem-Addition of Probabilities of Mutually Exclusive Events
    20. Problem-Addition of Probabilities of Mutually Exclusive Events
      666 views
      21. Estimating Probabilities and Tally Marks
    21. Estimating Probabilities and Tally Marks
      489 views
      22. Problem-Estimating Probabilities and Tally Marks
    22. Problem-Estimating Probabilities and Tally Marks
      362 views
      23. Multiplication of Probabilities and Independent Events
    23. Multiplication of Probabilities and Independent Events
      987 views
      24. More on Multiplication of Probabilities and Independent Events
    24. More on Multiplication of Probabilities and Independent Events
      683 views
      25. Problem-Multiplication of Probabilities of Independent Events
    25. Problem-Multiplication of Probabilities of Independent Events
      389 views
      26. Addition of Probabilities of Overlapping Events
    26. Addition of Probabilities of Overlapping Events
      406 views
      27. Problem-Addition of Probabilities of Overlapping Events
    27. Problem-Addition of Probabilities of Overlapping Events
      329 views
      28. Addition of Probabilities of Disjoint Events
    28. Addition of Probabilities of Disjoint Events
      391 views
      29. Addition of Probabilities of Subset Events
    29. Addition of Probabilities of Subset Events
      369 views
      30. Problem-Addition of Probabilities of Subset Events
    30. Problem-Addition of Probabilities of Subset Events
      313 views
      31. Conditional Probability
    31. Conditional Probability
      3215 views
      32. Multiplication of Probabilities of n Independent Events
    32. Multiplication of Probabilities of n Independent Events
      454 views
      33. Problem-Multiplication of Probabilities of n Independent Events
    33. Problem-Multiplication of Probabilities of n Independent Events
      417 views

    Chapter 7 Mathematical Induction and Binomial Theorem (40 videos) (Practice Test) (Exercises Exercise Answers)

      7.1: Introduction (Practice Test)
      Introduction to Mathematical Induction
    1. Introduction to Mathematical Induction
      6888 views
      2. Problem-Introduction to Mathematical Induction
    2. Problem-Introduction to Mathematical Induction
      3865 views
      3. Principle of Mathematical Induction
    3. Principle of Mathematical Induction
      3279 views
      4. More on Principle of Mathematical Induction
    4. More on Principle of Mathematical Induction
      1551 views
      5. Problem1-Principle of Mathematical Induction
    5. Problem1-Principle of Mathematical Induction
      1705 views
      6. Problem2-Principle of Mathematical Induction
    6. Problem2-Principle of Mathematical Induction
      1101 views
      7. Principle of Extended Mathematical Induction
    7. Principle of Extended Mathematical Induction
      1845 views
      8. Problem1-Principle of Extended Mathematical Induction
    8. Problem1-Principle of Extended Mathematical Induction
      1347 views
      9. Problem2-Principle of Extended Mathematical Induction
    9. Problem2-Principle of Extended Mathematical Induction
      979 views
      7.2: The Binomial Theorem (Practice Test)
      Introduction to Binomial Theorem
    1. Introduction to Binomial Theorem
      3081 views
      2. Problem1-Introduction to Binomial Theorem
    2. Problem1-Introduction to Binomial Theorem
      1957 views
      3. Problem2-Introduction to Binomial Theorem
    3. Problem2-Introduction to Binomial Theorem
      1308 views
      4. Proof of Binomial Theorem
    4. Proof of Binomial Theorem
      1726 views
      5. More on Proof of Binomial Theorem
    5. More on Proof of Binomial Theorem
      883 views
      6. Problem1-Proof of Binomial Theorem
    6. Problem1-Proof of Binomial Theorem
      826 views
      7. Problem2-Proof of Binomial Theorem
    7. Problem2-Proof of Binomial Theorem
      584 views
      8. Deductions From Binomial Theorem
    8. Deductions From Binomial Theorem
      9. Problem1-Deductions From Binomial Theorem
    9. Problem1-Deductions From Binomial Theorem
      633 views
      10. Problem2-Deductions From Binomial Theorem
    10. Problem2-Deductions From Binomial Theorem
      520 views
      11. Some Important Observations
    11. Some Important Observations
      838 views
      12. Pascal's Triangle
    12. Pascal's Triangle
      832 views
      13. Problem1-Pascal's Triangle
    13. Problem1-Pascal's Triangle
      582 views
      14. Problem2-Pascal's Triangle
    14. Problem2-Pascal's Triangle
      477 views
      15. The Middle Term in the Expansion of ( a + x ) ^n
    15. The Middle Term in the Expansion of ( a + x ) ^n
      921 views
      16. Problem1-The Middle Term in the Binomial Expansion
    16. Problem1-The Middle Term in the Binomial Expansion
      662 views
      17. Problem2-The Middle Term in the Binomial Expansion
    17. Problem2-The Middle Term in the Binomial Expansion
      480 views
      18. More on Problem2-The Middle Term in the Binomial Expansion
    18. More on Problem2-The Middle Term in the Binomial Expansion
      449 views
      19. Problem3-The Middle Term in the Binomial Expansion
    19. Problem3-The Middle Term in the Binomial Expansion
      495 views
      20. Some Deductions From the Binomial Expansion
    20. Some Deductions From the Binomial Expansion
      1136 views
      21. Problem1-Some Deductions From the Binomial Expansion
    21. Problem1-Some Deductions From the Binomial Expansion
      679 views
      22. Problem2-Some Deductions From the Binomial Expansion
    22. Problem2-Some Deductions From the Binomial Expansion
      498 views
      23. Problem3-Some Deductions From the Binomial Expansion
    23. Problem3-Some Deductions From the Binomial Expansion
      496 views
      7.3: Binomial Series
      The Binomial Theorem With Negative Integer Index
    1. The Binomial Theorem With Negative Integer Index
      1297 views
      2. Problem-The Binomial Theorem With Negative Integer Index
    2. Problem-The Binomial Theorem With Negative Integer Index
      815 views
      3. Some Particular Cases of the Binomial Expansion
    3. Some Particular Cases of the Binomial Expansion
      4. Problem-Some Particular Cases of the Binomial Expansion
    4. Problem-Some Particular Cases of the Binomial Expansion
      628 views
      7.4: Application of the Binomial Theorem
      Applications of the Binomial Theorem
    1. Applications of the Binomial Theorem
      1157 views
      2. More on Applications of the Binomial Theorem
    2. More on Applications of the Binomial Theorem
      671 views
      3. Problem1-Applications of the Binomial Theorem
    3. Problem1-Applications of the Binomial Theorem
      642 views
      4. Problem2-Applications of the Binomial Theorem
    4. Problem2-Applications of the Binomial Theorem
      623 views

    Chapter 8 Functions and Graphs (75 videos) (Practice Test) (Exercises Exercise Answers)

      8.1: Introduction (Practice Test)
      Introduction to Function
    1. Introduction to Function
      33866 views
      2. More on Introduction to Functions
    2. More on Introduction to Functions
      11149 views
      3. Problem1-Introduction to Function
    3. Problem1-Introduction to Function
      6005 views
      4. Problem2-Introduction to Function
    4. Problem2-Introduction to Function
      677 views
      5. Problem3-Introduction to Function
    5. Problem3-Introduction to Function
      6740 views
      6. Problem4-Introduction to Function
    6. Problem4-Introduction to Function
      4776 views
      7. Finding Domain and Range of Functions
    7. Finding Domain and Range of Functions
      4881 views
      8. Types of Relations
    8. Types of Relations
      700 views
      9. One to One Correspondence
    9. One to One Correspondence
      5463 views
      10. Problem1-One to One Function
    10. Problem1-One to One Function
      2057 views
      11. Problem2-One to One Correspondence
    11. Problem2-One to One Correspondence
      524 views
      12. One-One Function
    12. One-One Function
      4739 views
      13. Problem-One-One Function
    13. Problem-One-One Function
      301 views
      14. Operations on Functions
    14. Operations on Functions
      656 views
      15. Into Function
    15. Into Function
      16. Problem1-Into Function
    16. Problem1-Into Function
      2746 views
      17. Problem2-Into Function
    17. Problem2-Into Function
      432 views
      18. Injective Function
    18. Injective Function
      19. Problem1-Injective Function
    19. Problem1-Injective Function
      1111 views
      20. Problem2-Injective Function
    20. Problem2-Injective Function
      246 views
      21. Onto Function
    21. Onto Function
      7782 views
      22. Problem1-Onto Function
    22. Problem1-Onto Function
      2303 views
      23. Problem2-Onto Function
    23. Problem2-Onto Function
      433 views
      24. Bijective Function
    24. Bijective Function
      4605 views
      25. Problem1-Bijective Function
    25. Problem1-Bijective Function
      1587 views
      26. Problem2-Bijective Function
    26. Problem2-Bijective Function
      365 views
      27. Formulization of Functions
    27. Formulization of Functions
      930 views
      28. Algebraic Functions
    28. Algebraic Functions
      9511 views
      29. Linear and Quadratic Functions
    29. Linear and Quadratic Functions
      539 views
      30. Problem-Linear and Quadratic Functions
    30. Problem-Linear and Quadratic Functions
      298 views
      8.2: Inverse Function (Practice Test)
      Inverse of a Function
    1. Inverse of a Function
      4588 views
      2. More on Inverse of a Function
    2. More on Inverse of a Function
      1843 views
      3. Problem1-Inverse of a Function
    3. Problem1-Inverse of a Function
      465 views
      4. Problem2-Inverse of a Function
    4. Problem2-Inverse of a Function
      1803 views
      5. Domain & Range of Inverse Function
    5. Domain & Range of Inverse Function
      520 views
      6. Graphical Representation of Functions
    6. Graphical Representation of Functions
      1341 views
      8.3: Graphical Representation of Functions (Practice Test)
      Plotting Order Pairs and Draw the Lines
    1. Plotting Order Pairs and Draw the Lines
      208 views
      2. Problem-Plotting Order Pairs and Draw the Lines
    2. Problem-Plotting Order Pairs and Draw the Lines
      174 views
      3. Sketching Graphs of Quadratic Functions
    3. Sketching Graphs of Quadratic Functions
      737 views
      4. Graph of Square Root Function
    4. Graph of Square Root Function
      108 views
      5. Graphs of Cubic Functions
    5. Graphs of Cubic Functions
      1523 views
      6. Graph of a General Cubic Functions
    6. Graph of a General Cubic Functions
      87 views
      7. More on Graph of a General Cubic Functions
    7. More on Graph of a General Cubic Functions
      74 views
      8. Graphs of Rational Functions
    8. Graphs of Rational Functions
      89 views
      9. Graph of the function y = a/ x.x
    9. Graph of the function y = a/ x.x
      364 views
      10. Graphing the Inverse of a Function
    10. Graphing the Inverse of a Function
      75 views
      11. Graph of Exponentials functions
    11. Graph of Exponentials functions
      278 views
      12. Problem-Sketching Graphs of Quadratic Functions
    12. Problem-Sketching Graphs of Quadratic Functions
      214 views
      13. Graphical Solution of Quadratic Equations
    13. Graphical Solution of Quadratic Equations
      435 views
      14. Graph of Functions Defined Piece-wise
    14. Graph of Functions Defined Piece-wise
      3167 views
      8.4: Intersecting Graphs (Practice Test)
      Point of Intersection of a Linear Function and Coordinate Axes
    1. Point of Intersection of a Linear Function and Coordinate Axes
      127 views
      2. Problem-Point of Intersection of a Linear Function and Coordinate Axes
    2. Problem-Point of Intersection of a Linear Function and Coordinate Axes
      93 views
      3. Point of Intersection of Two Linear Functions
    3. Point of Intersection of Two Linear Functions
      110 views
      4. Problem-Point of Intersection of Two Linear Functions
    4. Problem-Point of Intersection of Two Linear Functions
      74 views
      5. Point of Intersection of a Linear Function and a Quadratic Function
    5. Point of Intersection of a Linear Function and a Quadratic Function
      92 views
      6. Problem-Point of Intersection of a Linear Function and a Quadratic Function
    6. Problem-Point of Intersection of a Linear Function and a Quadratic Function
      66 views
      7. Graphical Solutions of Problems From Daily Life
    7. Graphical Solutions of Problems From Daily Life
      76 views
      8. Problem1-Graphical Solutions of Problems From Daily Life
    8. Problem1-Graphical Solutions of Problems From Daily Life
      72 views
      9. Problem2-Graphical Solutions of Problems From Daily Life
    9. Problem2-Graphical Solutions of Problems From Daily Life
      62 views
      8.11: Intercepts and Symmetry (Practice Test)
      Intercepts and Symmetry
    1. Intercepts and Symmetry
      201 views
      2. Graphs of Reciprocal Functions
    2. Graphs of Reciprocal Functions
      616 views
      8.12: Graph of the Function of the Form y = x power n (Practice Test)
      Sketches of Some Important Graphs-1
    1. Sketches of Some Important Graphs-1
      410 views
      2. Sketches of Some Important Graphs-2
    2. Sketches of Some Important Graphs-2
      89 views
      3. Sketches of Some Important Graphs-3
    3. Sketches of Some Important Graphs-3
      74 views
      4. Sketches of Some Important Graphs-4
    4. Sketches of Some Important Graphs-4
      62 views
      5. Sketching Graphs of Quadratic Functions
    5. Sketching Graphs of Quadratic Functions
      737 views
      6. Quadratic Function
    6. Quadratic Function
      408 views
      7. Geometrical Interpretation and the Discriminant
    7. Geometrical Interpretation and the Discriminant
      357 views
      8. Problem1-Geometrical Interpretation and the Discriminant-1
    8. Problem1-Geometrical Interpretation and the Discriminant-1
      297 views
      9. Problem1-Geometrical Interpretation and the Discriminant-2
    9. Problem1-Geometrical Interpretation and the Discriminant-2
      246 views
      10. Problem2-Geometrical Interpretation and the Discriminant-1
    10. Problem2-Geometrical Interpretation and the Discriminant-1
      228 views
      11. Graphs of the form y = ± ( x - a ).( x - b )
    11. Graphs of the form y = ± ( x - a ).( x - b )
      360 views
      12. Graphs of the form y = ± ( x - p ).( x - p ) + q
    12. Graphs of the form y = ± ( x - p ).( x - p ) + q
      239 views
      13. Predicting Functions From Their Graphs
    13. Predicting Functions From Their Graphs
      165 views
      14. Problem-Predicting Functions From Their Graphs
    14. Problem-Predicting Functions From Their Graphs
      74 views

    Chapter 9 Linear Programming (28 videos) (Practice Test)

      9.1: Introduction (Practice Test)
      Introduction to Linear Inequalities
    1. Introduction to Linear Inequalities
      3543 views
      9.2: Linear Inequalities (Practice Test)
      More on Introducing Linear Inequalities
    1. More on Introducing Linear Inequalities
      1711 views
      2. Problem1-Introduction to Linear Inequalities
    2. Problem1-Introduction to Linear Inequalities
      1436 views
      3. Graphing of Linear Inequality in Two Variables
    3. Graphing of Linear Inequality in Two Variables
      1978 views
      4. More on Graphing of Linear Inequality in Two Variables
    4. More on Graphing of Linear Inequality in Two Variables
      1536 views
      5. Problem1-Graphing of Linear Inequality in Two Variables
    5. Problem1-Graphing of Linear Inequality in Two Variables
      1313 views
      6. Problem2-Graphing of Linear Inequality in Two Variables
    6. Problem2-Graphing of Linear Inequality in Two Variables
      1149 views
      7. Graphing System of Inequalities
    7. Graphing System of Inequalities
      1344 views
      8. More on Graphing System of Inequalities
    8. More on Graphing System of Inequalities
      962 views
      9. Problem1-Graphing System of Inequalities
    9. Problem1-Graphing System of Inequalities
      1033 views
      10. Problem1-Introducing Problem Constraints in Inequality
    10. Problem1-Introducing Problem Constraints in Inequality
      1102 views
      11. P1a-More on Introducing Problem Constraints in Inequality
    11. P1a-More on Introducing Problem Constraints in Inequality
      481 views
      9.3: Feasible Region (Practice Test)
      Linear Programming
    1. Linear Programming
      1038 views
      2. Feasible Solution in Inequality
    2. Feasible Solution in Inequality
      1937 views
      3. More on Feasible Solution in Inequality
    3. More on Feasible Solution in Inequality
      920 views
      4. Problem1-Feasible Solution in Inequality
    4. Problem1-Feasible Solution in Inequality
      692 views
      9.4: Optimal Solution (Practice Test)
      Procedure For Determining Optimal Solution
    1. Procedure For Determining Optimal Solution
      861 views
      2. More on Procedure For Determining Optimal Solution
    2. More on Procedure For Determining Optimal Solution
      592 views
      3. Problem Solving in Linear Programming
    3. Problem Solving in Linear Programming
      528 views
      4. More on Problem Solving in Linear Programming
    4. More on Problem Solving in Linear Programming
      440 views
      5. Problem1-Procedure For Determining Optimal Solution
    5. Problem1-Procedure For Determining Optimal Solution
      472 views
      6. Problem1-More on Procedure For Determining Optimal Solution
    6. Problem1-More on Procedure For Determining Optimal Solution
      307 views
      7. Problem2-Procedure For Determining Optimal Solution
    7. Problem2-Procedure For Determining Optimal Solution
      415 views
      8. Problem2-More on Procedure For Determining Optimal Solution
    8. Problem2-More on Procedure For Determining Optimal Solution
      265 views
      9. Problem3-Procedure For Determining Optimal Solution
    9. Problem3-Procedure For Determining Optimal Solution
      357 views
      10. Problem3-More on Procedure For Determining Optimal Solution
    10. Problem3-More on Procedure For Determining Optimal Solution
      216 views
      11. Problem4-Procedure For Determining Optimal Solution
    11. Problem4-Procedure For Determining Optimal Solution
      357 views
      12. Problem4-More on Procedure For Determining Optimal Solution
    12. Problem4-More on Procedure For Determining Optimal Solution
      242 views

    Chapter 10 Trigonometric Identities of Sum and Difference of Angles (47 videos) (Practice Test) (Exercises Exercise Answers)

      10.1: Introduction (Practice Test)
      Proof of Fundamental Trigonometric Identity
    1. Proof of Fundamental Trigonometric Identity
      6632 views
      2. More on Fundamental Trigonometric Identity
    2. More on Fundamental Trigonometric Identity
      2756 views
      3. Problem1-Proof of Fundamental Trigonometric Identity
    3. Problem1-Proof of Fundamental Trigonometric Identity
      4231 views
      4. Problem2-Proof of Fundamental Trigonometric Identity
    4. Problem2-Proof of Fundamental Trigonometric Identity
      2247 views
      5. Problem3-Proof of Fundamental Trigonometric Identity
    5. Problem3-Proof of Fundamental Trigonometric Identity
      1984 views
      6. Problem4-Proof of Fundamental Trigonometric Identity
    6. Problem4-Proof of Fundamental Trigonometric Identity
      1925 views
      7. Problem5-Proof of Fundamental Trigonometric Identity
    7. Problem5-Proof of Fundamental Trigonometric Identity
      661 views
      8. Problem6-Proof of Fundamental Trigonometric Identity
    8. Problem6-Proof of Fundamental Trigonometric Identity
      1933 views
      9. Fundamental Law of Trigonometry
    9. Fundamental Law of Trigonometry
      5575 views
      10. More on Fundamental Law of Trigonometry
    10. More on Fundamental Law of Trigonometry
      2949 views
      11. Problem-Fundamental Law of Trigonometry
    11. Problem-Fundamental Law of Trigonometry
      1579 views
      12. Proof of Angle Addition Formula for Cosine
    12. Proof of Angle Addition Formula for Cosine
      1185 views
      13. More on Proof of Angle Addition Formula for Cosine
    13. More on Proof of Angle Addition Formula for Cosine
      618 views
      14. Problem-Proof of Angle Addition Formula for Cosine
    14. Problem-Proof of Angle Addition Formula for Cosine
      749 views
      15. Deductions From Fundamental Law
    15. Deductions From Fundamental Law
      1866 views
      16. More on Deductions From Fundamental Law1
    16. More on Deductions From Fundamental Law1
      1057 views
      17. More on Deductions From Fundamental Law2
    17. More on Deductions From Fundamental Law2
      742 views
      18. Problem1-Deductions From Fundamental Law
    18. Problem1-Deductions From Fundamental Law
      925 views
      19. Problem2-Deductions From Fundamental Law
    19. Problem2-Deductions From Fundamental Law
      571 views
      20. Problem3-Deductions From Fundamental Law
    20. Problem3-Deductions From Fundamental Law
      637 views
      10.2: Trigonometric Ratios of Allied Angles (Practice Test)
      Trigonometric Ratios and Allied Angles
    1. Trigonometric Ratios and Allied Angles
      2704 views
      2. More on Trigonometric Ratios and Allied Angles
    2. More on Trigonometric Ratios and Allied Angles
      1198 views
      3. Problem1-Trigonometric Ratios and Allied Angles
    3. Problem1-Trigonometric Ratios and Allied Angles
      1278 views
      4. Problem2-Trigonometric Ratios and Allied Angles
    4. Problem2-Trigonometric Ratios and Allied Angles
      776 views
      5. Maximum and Minimum Value of given Trigonometric Function
    5. Maximum and Minimum Value of given Trigonometric Function
      846 views
      6. More on Maximum and Minimum Value of given Trigonometric Function
    6. More on Maximum and Minimum Value of given Trigonometric Function
      446 views
      7. Writing aSinA + bCosA in the Form r Sin(A + B )
    7. Writing aSinA + bCosA in the Form r Sin(A + B )
      1066 views
      8. Solving aSinA + bCosA = c
    8. Solving aSinA + bCosA = c
      778 views
      9. Further Application of Basic Identities
    9. Further Application of Basic Identities
      919 views
      10. More on Further Application of Basic Identities
    10. More on Further Application of Basic Identities
      499 views
      11. Problem1-Further Application of Basic Identities
    11. Problem1-Further Application of Basic Identities
      640 views
      12. Problem2-Further Application of Basic Identities
    12. Problem2-Further Application of Basic Identities
      553 views
      10.3: Double, Half and Triple Angle Identities (Practice Test)
      Double Angle Identities
    1. Double Angle Identities
      1172 views
      2. Problem-Double Angle Identities
    2. Problem-Double Angle Identities
      750 views
      3. Half Angle Identities
    3. Half Angle Identities
      942 views
      4. Problem-Half Angle Identities
    4. Problem-Half Angle Identities
      545 views
      5. Triple Angle Identities
    5. Triple Angle Identities
      711 views
      6. More on Triple Angle Identities
    6. More on Triple Angle Identities
      372 views
      7. Further on Triple Angle Identities
    7. Further on Triple Angle Identities
      297 views
      8. Problem1-Triple Angle Identities
    8. Problem1-Triple Angle Identities
      346 views
      9. Problem2-Triple Angle Identities
    9. Problem2-Triple Angle Identities
      300 views
      10.4: Sum, Difference and Product of Sine and Cosine (Practice Test)
      Product to Sum or Difference of Sines and Cosines
    1. Product to Sum or Difference of Sines and Cosines
      1052 views
      2. Problem-Product to Sum or Difference of Sines and Cosines
    2. Problem-Product to Sum or Difference of Sines and Cosines
      584 views
      3. Sum or Difference to Product of Sines and Cosines
    3. Sum or Difference to Product of Sines and Cosines
      597 views
      4. More on Sum or Difference to Product of Sines and Cosines
    4. More on Sum or Difference to Product of Sines and Cosines
      420 views
      5. Problem-Sum or Difference to Product of Sines and Cosines
    5. Problem-Sum or Difference to Product of Sines and Cosines
      476 views
      6. Applications of Product of Sines and Cosines
    6. Applications of Product of Sines and Cosines
      594 views

    Chapter 11 Application of Trigonometry (68 videos) (Practice Test) (Exercises Exercise Answers)

      11.1: Introduction (Practice Test)
      Introduction to Trigonometry
    1. Introduction to Trigonometry
      9400 views
      2. Problem1-Introduction to Trigonometry
    2. Problem1-Introduction to Trigonometry
      4293 views
      3. Trigonometric Ratios of Acute Angles
    3. Trigonometric Ratios of Acute Angles
      5480 views
      4. Problem-Trigonometric Ratios of Acute Angles
    4. Problem-Trigonometric Ratios of Acute Angles
      1922 views
      5. Solving Right-Angled Triangles by Trigonometric Ratios
    5. Solving Right-Angled Triangles by Trigonometric Ratios
      2560 views
      6. Concept of Angle of Elevation & Depression
    6. Concept of Angle of Elevation & Depression
      3762 views
      7. Problem-Concept of Angle of Elevation & Depression
    7. Problem-Concept of Angle of Elevation & Depression
      2307 views
      8. Engineering and Heights and Distances
    8. Engineering and Heights and Distances
      541 views
      9. More on Engineering and Heights and Distances
    9. More on Engineering and Heights and Distances
      403 views
      10. Problem1-Engineering and Heights and Distances
    10. Problem1-Engineering and Heights and Distances
      278 views
      11. Problem2-Engineering and Heights and Distances
    11. Problem2-Engineering and Heights and Distances
      242 views
      12. Word problem when one Side and Angle of Elevation are Given
    12. Word problem when one Side and Angle of Elevation are Given
      2256 views
      13. Problem-When one Side & Angle of Elevation are Given
    13. Problem-When one Side & Angle of Elevation are Given
      417 views
      14. Heights and Distances
    14. Heights and Distances
      2217 views
      15. Problem-Heights and Distances
    15. Problem-Heights and Distances
      982 views
      16. Word problem when one Side and Angle of Depression are Given
    16. Word problem when one Side and Angle of Depression are Given
      1327 views
      17. Problem1-when One Side & Angle of Depression are Given
    17. Problem1-when One Side & Angle of Depression are Given
      1286 views
      18. Problem2-when One Side & Angle of Depression are Given
    18. Problem2-when One Side & Angle of Depression are Given
      207 views
      19. Word problem when Hypotenuse and Angle of Elevation are Given
    19. Word problem when Hypotenuse and Angle of Elevation are Given
      1016 views
      20. Problem-when Hypotenuse & Angle of Elevation are Given
    20. Problem-when Hypotenuse & Angle of Elevation are Given
      991 views
      21. Word Problem with given Sides-Angle of Elevation-Depression
    21. Word Problem with given Sides-Angle of Elevation-Depression
      1016 views
      22. Problem1-when Given Sides-Angle of Elevation-Depression
    22. Problem1-when Given Sides-Angle of Elevation-Depression
      1387 views
      23. Problem2-when Given Sides-Angle of Elevation-Depression
    23. Problem2-when Given Sides-Angle of Elevation-Depression
      1074 views
      24. Problem3a-when Given Sides-Angle of Elevation-Depression
    24. Problem3a-when Given Sides-Angle of Elevation-Depression
      193 views
      25. Problem3b-when Given Sides-Angle of Elevation-Depression
    25. Problem3b-when Given Sides-Angle of Elevation-Depression
      194 views
      26. More Examples on Application of Trigonometry
    26. More Examples on Application of Trigonometry
      491 views
      11.2: Oblique Triangles (Practice Test)
      Concept of Oblique Triangles
    1. Concept of Oblique Triangles
      735 views
      2. Problem-Concept of Oblique Triangles
    2. Problem-Concept of Oblique Triangles
      247 views
      3. When Measures of One Side and Two Angles are Given
    3. When Measures of One Side and Two Angles are Given
      539 views
      4. Problem-When Measures of One Side and Two Angles are Given
    4. Problem-When Measures of One Side and Two Angles are Given
      222 views
      5. When Measures of Two Side and Their Included Angles are Given
    5. When Measures of Two Side and Their Included Angles are Given
      479 views
      6. Problem-When Measures of Two Side and Their Included Angles are Given
    6. Problem-When Measures of Two Side and Their Included Angles are Given
      218 views
      7. When Measures of Three Sides are Given
    7. When Measures of Three Sides are Given
      425 views
      8. The Cosine Rule
    8. The Cosine Rule
      2090 views
      9. More on The Cosine Rule
    9. More on The Cosine Rule
      1083 views
      10. Problem1-The Cosine Rule
    10. Problem1-The Cosine Rule
      466 views
      11. Problem2-The Cosine Rule
    11. Problem2-The Cosine Rule
      312 views
      12. The Sine Rule
    12. The Sine Rule
      2829 views
      13. Problem-The Sine Rule
    13. Problem-The Sine Rule
      747 views
      14. Examples on Sine Rule
    14. Examples on Sine Rule
      495 views
      15. Application of the Sine Rule
    15. Application of the Sine Rule
      301 views
      16. The Law of Tangents
    16. The Law of Tangents
      1631 views
      17. More on The Law of Tangents
    17. More on The Law of Tangents
      612 views
      18. Problem-The Law of Tangents
    18. Problem-The Law of Tangents
      484 views
      19. Half Angle Formulas
    19. Half Angle Formulas
      1096 views
      20. Problem-The Sine of Half the Angle Formula
    20. Problem-The Sine of Half the Angle Formula
      292 views
      21. The Cosine of Half the Angle in Terms of the Sides
    21. The Cosine of Half the Angle in Terms of the Sides
      485 views
      22. Problem-The Cosine of Half the Angle in Terms of the Sides
    22. Problem-The Cosine of Half the Angle in Terms of the Sides
      239 views
      23. The Tangents of Half the Angle in Terms of the Sides
    23. The Tangents of Half the Angle in Terms of the Sides
      408 views
      24. Problem-The Tangents of Half the Angle in Terms of the Sides
    24. Problem-The Tangents of Half the Angle in Terms of the Sides
      235 views
      25. Area of Triangle by Measuring Two Sides and Their Included Angle
    25. Area of Triangle by Measuring Two Sides and Their Included Angle
      1713 views
      26. Area of Triangle by Measuring One Side and Two Angles
    26. Area of Triangle by Measuring One Side and Two Angles
      27. Area of Eqilateral Triangle With Given Sides
    27. Area of Eqilateral Triangle With Given Sides
      418 views
      28. Problem-Area of Eqilateral Triangle With Given Sides
    28. Problem-Area of Eqilateral Triangle With Given Sides
      227 views
      29. Area of a Triangle with Given Sides
    29. Area of a Triangle with Given Sides
      414 views
      30. More on Area of a Triangle with Given Sides
    30. More on Area of a Triangle with Given Sides
      285 views
      31. Area of Triangle by Heros Formula
    31. Area of Triangle by Heros Formula
      2067 views
      11.3: Circles Connected with Triangles (Practice Test)
      Circles Connected With Triangles
    1. Circles Connected With Triangles
      790 views
      2. Problem-Circles Connected With Triangles
    2. Problem-Circles Connected With Triangles
      443 views
      3. Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
    3. Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
      1204 views
      4. More on Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
    4. More on Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
      573 views
      5. Problem1-Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
    5. Problem1-Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
      389 views
      6. Relation Among In-Radius, Perimeter & Area of Triangle
    6. Relation Among In-Radius, Perimeter & Area of Triangle
      752 views
      7. Problem-Relation Among In-Radius, Perimeter & Area of Triangle
    7. Problem-Relation Among In-Radius, Perimeter & Area of Triangle
      317 views
      8. Relation Among ex-Radius, Perimeter & Area of Triangle
    8. Relation Among ex-Radius, Perimeter & Area of Triangle
      780 views
      9. Problem-Relation Among ex-Radius, Perimeter & Area of Triangle
    9. Problem-Relation Among ex-Radius, Perimeter & Area of Triangle
      348 views
      10. Engineering and Circles Connected With Triangles
    10. Engineering and Circles Connected With Triangles
      496 views
      11. Problem-Engineering and Circles Connected With Triangles
    11. Problem-Engineering and Circles Connected With Triangles
      265 views

    Chapter 12 Graph of Trigonometric and Inverse Trigonometric Functions (93 videos) (Practice Test) (Exercises Exercise Answers)

      12.1: Trigonometric Functions (Practice Test)
      Trigonometric Functions for a Unit Circle
    1. Trigonometric Functions for a Unit Circle
      1094 views
      2. Values of Remaining Trigonometric Ratios
    2. Values of Remaining Trigonometric Ratios
      2183 views
      3. Domain and Ranges of Trigonometric Functions and Fundamental Identities
    3. Domain and Ranges of Trigonometric Functions and Fundamental Identities
      5295 views
      4. Problem1-Domain and Ranges of Trigonometric Functions and Fundamental Identities
    4. Problem1-Domain and Ranges of Trigonometric Functions and Fundamental Identities
      2341 views
      5. Problem2-Domain and Ranges of Trigonometric Functions and Fundamental Identities
    5. Problem2-Domain and Ranges of Trigonometric Functions and Fundamental Identities
      1219 views
      6. Problem3-Domain and Ranges of Trigonometric Functions and Fundamental Identities
    6. Problem3-Domain and Ranges of Trigonometric Functions and Fundamental Identities
      968 views
      7. Domain and Ranges of Sine and Cosine Functions
    7. Domain and Ranges of Sine and Cosine Functions
      1519 views
      8. More on Domain and Ranges of Sine and Cosine Functions
    8. More on Domain and Ranges of Sine and Cosine Functions
      729 views
      9. Problem-Domain and Ranges of Sine and Cosine Functions
    9. Problem-Domain and Ranges of Sine and Cosine Functions
      586 views
      10. Domain and Ranges of Tangent and Cotangent Functions
    10. Domain and Ranges of Tangent and Cotangent Functions
      1159 views
      11. More on Domain and Ranges of Tangent and Cotangent Functions
    11. More on Domain and Ranges of Tangent and Cotangent Functions
      695 views
      12. Problem-Domain and Ranges of Tangent and Cotangent Functions
    12. Problem-Domain and Ranges of Tangent and Cotangent Functions
      488 views
      13. Domain and Range of Secant Function
    13. Domain and Range of Secant Function
      792 views
      14. More on Domain and Range of Secant Function
    14. More on Domain and Range of Secant Function
      410 views
      15. Problem-Domain and Range of Secant Function
    15. Problem-Domain and Range of Secant Function
      369 views
      16. Domain and Ranges of Cosecant Function
    16. Domain and Ranges of Cosecant Function
      534 views
      17. More on Domain and Range of Cosecant Function
    17. More on Domain and Range of Cosecant Function
      348 views
      18. Problem-Domain and Range of Cosecant Function
    18. Problem-Domain and Range of Cosecant Function
      360 views
      19. Even and Odd Functions
    19. Even and Odd Functions
      2827 views
      20. Problem-Even and Odd Functions
    20. Problem-Even and Odd Functions
      1438 views
      21. Introduction to Period of Trigonometric Functions
    21. Introduction to Period of Trigonometric Functions
      2782 views
      22. Problem-Introduction to Period of Trigonometric Functions
    22. Problem-Introduction to Period of Trigonometric Functions
      1098 views
      23. Maximum and Minimum Values of Certain Trigonometric Functions
    23. Maximum and Minimum Values of Certain Trigonometric Functions
      12.2: Graphs of Trigonometric Functions (Practice Test)
      Graphs of Trigonometric Functions
    1. Graphs of Trigonometric Functions
      1836 views
      2. Problem-Graphs of Trigonometric Functions
    2. Problem-Graphs of Trigonometric Functions
      919 views
      3. Problem1-Graph of y = Sin x From - 360 to 360 Degree
    3. Problem1-Graph of y = Sin x From - 360 to 360 Degree
      533 views
      4. Problem1-Graph of y = Cos x From - 360 to 360 Degree
    4. Problem1-Graph of y = Cos x From - 360 to 360 Degree
      322 views
      5. Problem2-Graph of y = Cos x From - 360 to 360 Degree
    5. Problem2-Graph of y = Cos x From - 360 to 360 Degree
      278 views
      6. Graph of y = Tan x From - 180 to 180 Degree
    6. Graph of y = Tan x From - 180 to 180 Degree
      684 views
      7. Problem-Graph of y = Tan x From - 180 to 180 Degree
    7. Problem-Graph of y = Tan x From - 180 to 180 Degree
      397 views
      8. Graph of y = Cot x From - 360 to 180 Degree
    8. Graph of y = Cot x From - 360 to 180 Degree
      380 views
      9. Problem-Graph of y = Cot x From - 360 to 180 Degree
    9. Problem-Graph of y = Cot x From - 360 to 180 Degree
      270 views
      10. Problem-Graph of y = Sec x From - 360 to 360 Degree
    10. Problem-Graph of y = Sec x From - 360 to 360 Degree
      255 views
      11. Problem-Graph of y = Cosec x From - 360 to 360 Degree
    11. Problem-Graph of y = Cosec x From - 360 to 360 Degree
      220 views
      12. Graph of Sin2A and Cos2A Where A is a Positive Constant
    12. Graph of Sin2A and Cos2A Where A is a Positive Constant
      402 views
      13. More on Graph of Sin2A and Cos2A Where A is a Positive Constant
    13. More on Graph of Sin2A and Cos2A Where A is a Positive Constant
      273 views
      14. Symmetric Properties of the Graph of SinA, CosA and TanA
    14. Symmetric Properties of the Graph of SinA, CosA and TanA
      453 views
      15. Periodic Properties of the Graph of SinA, CosA and TanA
    15. Periodic Properties of the Graph of SinA, CosA and TanA
      507 views
      16. Even and Odd Functions
    16. Even and Odd Functions
      2827 views
      17. Translation Property of the Graph of SinA, CosA and TanA
    17. Translation Property of the Graph of SinA, CosA and TanA
      446 views
      18. More on Translation Property of the Graph of SinA, CosA and TanA
    18. More on Translation Property of the Graph of SinA, CosA and TanA
      297 views
      19. Maximum and Minimum Values of Certain Trigonometric Functions
    19. Maximum and Minimum Values of Certain Trigonometric Functions
      415 views
      20. Graphical Solution of Some Trigonometric Equations
    20. Graphical Solution of Some Trigonometric Equations
      527 views
      21. Introduction to Solutions of Trigonometric Equations
    21. Introduction to Solutions of Trigonometric Equations
      3153 views
      22. Problem-Introduction to Solutions of Trigonometric Equations
    22. Problem-Introduction to Solutions of Trigonometric Equations
      1673 views
      23. Solution of the Type SinA = k, Cos A = k and TanA = k
    23. Solution of the Type SinA = k, Cos A = k and TanA = k
      1374 views
      12.4: Inverse Trigonometric Functions (Practice Test)
      Introduction to Inverse Trigonometric Functions
    1. Introduction to Inverse Trigonometric Functions
      3940 views
      2. Vertical and Horizontal Line Tests
    2. Vertical and Horizontal Line Tests
      2126 views
      3. More on Vertical and Horizontal Line Tests
    3. More on Vertical and Horizontal Line Tests
      941 views
      4. The Inverse Sine Function
    4. The Inverse Sine Function
      2050 views
      5. Problem1-The Inverse Sine Function
    5. Problem1-The Inverse Sine Function
      1405 views
      6. Problem2-The Inverse Sine Function
    6. Problem2-The Inverse Sine Function
      701 views
      7. Inverse Relation of General Sine Functions
    7. Inverse Relation of General Sine Functions
      589 views
      8. The Inverse Cosine Function
    8. The Inverse Cosine Function
      653 views
      9. Problem1-The Inverse Cosine Function
    9. Problem1-The Inverse Cosine Function
      510 views
      10. Problem2-The Inverse Cosine Function
    10. Problem2-The Inverse Cosine Function
      329 views
      11. The Inverse Tangent Function
    11. The Inverse Tangent Function
      587 views
      12. Problem1-The Inverse Tangent Function
    12. Problem1-The Inverse Tangent Function
      440 views
      13. Problem2-The Inverse Tangent Function
    13. Problem2-The Inverse Tangent Function
      334 views
      14. Inverse Cotangent, Secant and Cosecant Functions
    14. Inverse Cotangent, Secant and Cosecant Functions
      560 views
      15. More on Inverse Cotangent, Secant and Cosecant Functions
    15. More on Inverse Cotangent, Secant and Cosecant Functions
      352 views
      16. Further on Inverse Cotangent, Secant and Cosecant Functions
    16. Further on Inverse Cotangent, Secant and Cosecant Functions
      310 views
      17. Problem1-Inverse Cotangent, Secant and Cosecant Functions
    17. Problem1-Inverse Cotangent, Secant and Cosecant Functions
      342 views
      18. Problem2-Inverse Cotangent, Secant and Cosecant Functions
    18. Problem2-Inverse Cotangent, Secant and Cosecant Functions
      260 views
      19. Domains and Ranges of Principal & Inverse Trigonometric Functions
    19. Domains and Ranges of Principal & Inverse Trigonometric Functions
      1139 views
      20. Problem1-Domains and Ranges of Principal andInverse Trigonometric Functions
    20. Problem1-Domains and Ranges of Principal andInverse Trigonometric Functions
      450 views
      21. Problem2-Domains and Ranges of Principal andInverse Trigonometric Functions
    21. Problem2-Domains and Ranges of Principal andInverse Trigonometric Functions
      320 views
      22. Problem3-Domains and Ranges of Principal andInverse Trigonometric Functions
    22. Problem3-Domains and Ranges of Principal andInverse Trigonometric Functions
      257 views
      23. Problem4-Domains and Ranges of Principal andInverse Trigonometric Functions
    23. Problem4-Domains and Ranges of Principal andInverse Trigonometric Functions
      273 views
      24. Problem5-Domains and Ranges of Principal andInverse Trigonometric Functions
    24. Problem5-Domains and Ranges of Principal andInverse Trigonometric Functions
      264 views
      25. Problem6-Domains and Ranges of Principal andInverse Trigonometric Functions
    25. Problem6-Domains and Ranges of Principal andInverse Trigonometric Functions
      256 views
      26. Inverse Trigonometric Identities
    26. Inverse Trigonometric Identities
      458 views
      27. More on Inverse Trigonometric Identities
    27. More on Inverse Trigonometric Identities
      329 views
      28. Further on Inverse Trigonometric Identities
    28. Further on Inverse Trigonometric Identities
      313 views
      29. Addition and Subtraction Formulas
    29. Addition and Subtraction Formulas
      845 views
      30. More on Addition and Subtraction Formulas
    30. More on Addition and Subtraction Formulas
      467 views
      31. Problem1-Addition and Subtraction Formulas
    31. Problem1-Addition and Subtraction Formulas
      493 views
      32. Problem2-Addition and Subtraction Formulas
    32. Problem2-Addition and Subtraction Formulas
      482 views
      12.5: Solutions of General Trigonometric Equations (Practice Test)
      Solution of General Trigonometric Equations
    1. Solution of General Trigonometric Equations
      2223 views
      2. Problem1-Solution of General Trigonometric Equations
    2. Problem1-Solution of General Trigonometric Equations
      1641 views
      3. Problem2-Solution of General Trigonometric Equations
    3. Problem2-Solution of General Trigonometric Equations
      941 views
      4. Problem3-Solution of General Trigonometric Equations
    4. Problem3-Solution of General Trigonometric Equations
      825 views
      5. Solution of General Trigonometric Equations by Factorization
    5. Solution of General Trigonometric Equations by Factorization
      697 views
      6. More on Solution of General Trigonometric Equations by Factorization
    6. More on Solution of General Trigonometric Equations by Factorization
      683 views
      7. Problem-Solution of General Trigonometric Equations by Factorization
    7. Problem-Solution of General Trigonometric Equations by Factorization
      542 views
      8. Solution of Trigonometric Equations by Trigonometric Identities
    8. Solution of Trigonometric Equations by Trigonometric Identities
      660 views
      9. Problem-Solution of Trigonometric Equations by Trigonometric Identities
    9. Problem-Solution of Trigonometric Equations by Trigonometric Identities
      557 views
      10. Solution of Trigonometric Equations by Quadratic Formula
    10. Solution of Trigonometric Equations by Quadratic Formula
      533 views
      11. Problem-Solution of Trigonometric Equations by Quadratic Formula
    11. Problem-Solution of Trigonometric Equations by Quadratic Formula
      382 views
      12. Writing aSinA + bCosA in the Form r Sin(A + B )
    12. Writing aSinA + bCosA in the Form r Sin(A + B )
      1066 views
      13. Solving aSinA + bCosA = c
    13. Solving aSinA + bCosA = c
      778 views
      14. Trigonometric Equations Containing Principal Functions
    14. Trigonometric Equations Containing Principal Functions
      450 views
      15. Problem-Trigonometric Equations Containing Principal Functions
    15. Problem-Trigonometric Equations Containing Principal Functions
      407 views