Free now and forever through Sabaq.pk website
For Schools
About Us
Media
Success
Sign In
Free now and forever thru Sabaq.pk website
Math | Class 11
Punjab
Class 11
Math (
Total Videos: 1130
)
Preference
All Chapters
Chapter 1: Numbers System
Chapter 2: Sets, Functions and Groups
Chapter 3: Matrices and Determinants
Chapter 4: Quadratic Equations
Chapter 5: Partial Fractions
Chapter 6: Sequences and Series
Chapter 7: Permutation, Combination and Probability
Chapter 8: Mathematical Inductions and Binomial Theorems
Chapter 9: Fundamentals of Trigonometry
Chapter 10: Trigonometric Identities Sum and Difference of Angles
Chapter 11: Trigonometric Functions and Their Graphs
Chapter 12: Application of Trigonometry
Chapter 13: Inverse Trigonometric Functions
Chapter 14: Solutions of Trigonometric Equations
Show Content
Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 1 Numbers System (
141 videos
)
  (
Practice Test
)
1.1: Introduction
Introduction to Real Numbers
28676 views
Problem-Introduction to Real Numbers
14102 views
1.2: Rational Numbers and Irrational Numbers (
Practice Test
)
Presenting Rational Numbers on Number Line
13271 views
Problem-Decimal Representation of Rational Number
3539 views
Representation of Irrational Number on Number Line
5149 views
Problem1-Decimal Representation of Irrational Number
2160 views
Problem-Representation of Irrational Number on Number Line
4175 views
Proving Square Root of Prime Number is Irrational Number
3574 views
Problem-Proving Square Root of Prime Number is Irrational Number
2588 views
1.3: Properties of Real Numbers (
Practice Test
)
More on Closure Law of Rational Numbers
1616 views
Commutative Law
3762 views
More on Commutative Law
1384 views
Problem-Commutative Law
810 views
Associative Law
3501 views
More on Associative Law
1447 views
Problem1-Associative Law
638 views
Problem2-Associative Law
1754 views
Additive Identity & Additive Inverse
3206 views
Problem1-Additive Identity & Additive Inverse
603 views
Problem2-Additive Identity & Additive Inverse
1659 views
Multiplicative Identity & Inverse
2732 views
Problem1-Multiplicative Identity & Inverse
551 views
Problem2-Multiplicative Identity & Inverse
1519 views
Distributive Law
3268 views
More on Distributive Law
1346 views
Problem1-Distributive Law
482 views
Problem2-Distributive Law
1236 views
Problem3- Distributive Law
518 views
Trichotomy Property of Inequality
4220 views
Problem1-Trichotomy Property of Inequality
662 views
Problem2-Trichotomy Property of Inequality
2442 views
Reflexive and Symmetric Property of Equality
3326 views
Problem-Reflexive-Symmetric Property of Equality
534 views
Transitive Property of Equality
2705 views
Problem1-Transitive Property of Equality
445 views
Problem2-Transitive Property of Equality
1533 views
Additive Property of Equality
2102 views
Problem-Additive Property of Equality
397 views
Multiplicative Property of Equality
1806 views
Problem-Multiplicative Property of Equality
363 views
Cancellation Property of Equality
2032 views
Problem-Cancellation Property of Equality
1287 views
Density Property
1308 views
Problem-Density Property
476 views
Archimedean Property of Inequality
1394 views
Problem1-Transitive property of Inequality
411 views
Problem2-Transitive property of Inequality
1936 views
Additive property of inequality
2720 views
Problem-Additive property of inequality
351 views
Multiplicative Property of Inequality
2736 views
Problem2-Multiplicative Property of Inequality
1924 views
Inequality multiplicative Inverse
1460 views
Problem-Inequality multiplicative Inverse
416 views
Indeterminate Form
644 views
Golden Rule of Fractions
1290 views
Principle of Equality of Fractions
639 views
Rule for Quotient of Fractrions
591 views
1.4: Complex Numbers (
Practice Test
)
Complex Number Introduction
11996 views
Problem1-Complex Number Introduction
3596 views
Problem2-Complex Number Introduction
3844 views
Introduction to Complex Numbers
3918 views
Problem2-Definition of Complex Number
1343 views
Conjugate of Complex Number
3570 views
Problem1-Conjugate of Complex Number
2298 views
Problem2-Conjugate of Complex Number
1489 views
Problem3-Conjugate of Complex Number
1014 views
Equality of Complex Number
2295 views
Problem1-Equality of Complex Number
1720 views
Problem2-Equality of Complex Number
770 views
Properties of Complex Number
2278 views
Problem1-Properties of Complex Number
1355 views
Problem2-Properties of Complex Number
604 views
Reflexive & Symmetric Law of Complex Number
1611 views
Problem1-Reflexive-Symmetric Law of Complex Number
1226 views
Problem2-Reflexive & Symmetric Law of Complex Number
534 views
Transitive Law of Complex Number
1388 views
Problem1-Transitive Law of Complex Number
1153 views
Problem2-Transitive Law of Complex Number
478 views
Addition of Complex Number
2981 views
Problem1-Addition of Complex Number
2446 views
Problem2-Addition of Complex Number
595 views
Multiplication of Complex with Scalar Numbers
2055 views
Problem1-Multiplying Complex Numbers with Scalar
1775 views
Problem2-Scalar Multiplication of Complex Numbers
602 views
Multiplication of Complex Numbers
2194 views
Problem1-Multiplication of Complex Numbers
1670 views
Problem2-Multiplication of Complex Numbers
568 views
Problem1-Subtraction of Complex Numbers
1212 views
Problem2-Subtraction of Complex Numbers
506 views
Division of Complex Numbers
2003 views
Problem1-Division of Complex Numbers
1732 views
Problem2-Division of Complex Numbers
540 views
Division Property of Complex Numbers
1543 views
Problem-Expressing complex number in standard form
1722 views
Problem2-Division Property of Complex Numbers
542 views
Commutative Property of Complex Numbers
1214 views
Problem-Commutative Property of Complex Numbers
466 views
Associative Property of Complex Numbers
890 views
Problem-Associative Property of Complex Numbers
493 views
The Distributive Property of Complex Numbers
1054 views
Problem-The Distributive Property of Complex Numbers
463 views
Additive Identity and Multiplicative Identity of Complex Numbers
1620 views
Problem-Additive Identity and Multiplicative Identity of Complex Numbers
584 views
Additive Inverse and Multiplicative Inverse of Complex Numbers
2598 views
Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
1182 views
Solution of Simultaneous Linear Equations with Complex Co-efficients
2278 views
Problem-Solution of Simultaneous Linear Equations with Complex Co-efficients
1208 views
Expression of the Polynomial P ( z ) as a Product of Linear Factors
1377 views
Problem-Expression of the Polynomial P ( z ) as a Product of Linear Factors
789 views
Quadratic Equation of Complex Variables
775 views
Problem-Quadratic Equation of Complex Variables
719 views
1.5: The Real Line (
Practice Test
)
Presenting Rational Numbers on Number Line
13271 views
Problem-Decimal Representation of Rational Number
3539 views
Problem-Argand Diagram
1127 views
Representation of Irrational Number on Number Line
5149 views
Problem1-Decimal Representation of Irrational Number
2160 views
Problem-Modulus of Complex Number
1190 views
Cartesian Coordinate System & Cartesian Plane
8577 views
Problem-Cartesian Coordinate System-Cartesian Plane
1140 views
1.6: Geometrical Representation of Complex Numbers (
Practice Test
)
Argand Diagram
1566 views
Problem-Argand Diagram
1127 views
The Order Relations
1020 views
Problem-The Order Relations
505 views
Modulus of Complex Number
1553 views
Problem-Modulus of Complex Number
1190 views
Theorems on Complex Number
1272 views
More on Theorems on Complex Numbers
803 views
Problem-Theorems on Complex Number
556 views
Vector Interpretation of Complex Numbers
1457 views
Problem-Vector Interpretation of Complex Numbers
484 views
The Triangle Inequality
925 views
Problem-The Triangle Inequality
604 views
Polar Form of a Complex Number
1260 views
Problem1-Polar Form of a Complex Number
572 views
Problem2-Polar Form of a Complex Number
509 views
Properties of the Arguments
666 views
Problem-Properties of the Arguments
496 views
Formula for Finding the Principal Argument
2349 views
Problem-Formula for Finding the Principal Argument
963 views
1.7: To Find Real and Imaginary Parts of ( x + i y ) ^n
Real and Imaginary parts of Expression of Power n
1874 views
Problem-Real and Imaginary parts of Expression of Power n
715 views
Chapter 2 Sets, Functions and Groups (
264 videos
)
  (
Practice Test
)
2.1: Introduction (
Practice Test
)
Set Definition
66158 views
Problem-Set Definition
3598 views
Set Notation and its Characteristics
14544 views
Problem-Set Notation & its Characteristics
1665 views
Problem-Presentation of a Set
490 views
Empty set and Singleton Set
4448 views
Problem1-Empty Set -Singleton Set
1822 views
Problem2-Empty Set & Singleton Set
387 views
Finite and infinite Sets
4883 views
Problem-Finite and infinite Sets
1343 views
Problem-Finite & Infinite Set
298 views
Subset definition
3582 views
Problem-Subset
2292 views
Problem-Subset Definition
757 views
Proper and Improper Subset
13991 views
Problem-Proper and Improper Subset
5085 views
Properties of Subsets
2340 views
Problem-Properties of Subsets
1504 views
Power Set
5474 views
Problem-Power Set
1792 views
Equal and equivalent Sets
5881 views
Problem-Equal and equivalent Sets
1728 views
Universal Set
3818 views
Concept of one to one correspondence
3402 views
Some Important Sets of Numbers
18995 views
Descriptive and Tabular Notation
7613 views
Problem-Set Builder Notation
1875 views
Order of a Set
2170 views
Problem-Order of a Set
1098 views
Interval Notation of a Set
1171 views
2.2: Operations on Sets (
Practice Test
)
Disjoint Sets
3566 views
Overlapping Sets
3569 views
Union of two sets
6344 views
Problem-Union of two sets
1534 views
Exhaustive Sets and Cells
1460 views
Intersection of two sets
3447 views
Problem-Intersection of two sets
1228 views
Symmetric Difference of two sets
1501 views
Problem-Symmetric Difference of two sets
1114 views
Complement of a Set
4330 views
Problem-Complement of a Set
1348 views
2.3: Venn Diagrams (
Practice Test
)
Introducing Venn Diagram
10489 views
Problem-Introducing Venn Diagram
3237 views
Difference of Sets for Overlapping Sets
1990 views
Problem-Difference of Sets for Overlapping Sets
785 views
Difference of Sets for Disjoint Sets
945 views
Problem-Difference of Sets for Disjoint Sets
628 views
Difference of Sets for a Set & its Subset
735 views
Problem-Difference of Sets for Set and its Subset
635 views
Complement of Union for Overlapping Sets
1088 views
Problem-Complement of Union for Overlapping Sets
851 views
Complement of Intersection for Overlapping Sets
786 views
Problem-Complement of Intersection for Overlapping Sets
588 views
Complement of Intersection for Disjoint Sets
709 views
Problem-Complement of Intersection for Disjoint Sets
519 views
Complement of Union for Disjoint Sets
697 views
Problem-Complement of Union for Disjoint Sets
517 views
Complement of Union for Set & its Subset
613 views
Problem-Complement of Union for Set & its Subset
479 views
Complement of Intersection for Set & its Subset
599 views
Problem-Complement of Intersection for Set-Subset
575 views
De Morgans Law for Overlapping Sets
1221 views
Problem-De Morgans Law for Overlapping Sets
838 views
Identity Laws
640 views
Problem-Identity Laws
330 views
Laws of Complement
639 views
Problem-Laws of Complement
242 views
Idempotent Laws
325 views
Problem-Idempotent Laws
242 views
De Morgans Law for Disjoint Sets
725 views
Problem-De Morgans Law for Disjoint Sets
528 views
De Morgans Law for Set & its Subset
609 views
Problem-De Morgans Law for Set & its Subset
574 views
2.4: Operations on Three Sets (
Practice Test
)
Associativity of Union of three sets
4106 views
Problem-Associativity of Union of three sets
1025 views
Associativity of Intersection of three sets
2778 views
Problem-Associativity of Intersection of three sets
771 views
Distributivity of Union over Intersection
2085 views
Problem-Distributivity of Union over Intersection
781 views
Double Complementation Law
1842 views
Problem-Double Complementation Law
447 views
Union and Intersection on three sets
661 views
Commutativity of Union
2858 views
Commutativity of Intersection
1500 views
Distributivity of Intersection over Union
1358 views
Problem-Distributivity of Intersection over Union
321 views
Distributive Property of Cartesian Product Over Union
379 views
Problem-Distributive Property of Cartesian Product Over Union
227 views
Distributive Property of Cartesian Product Over Intersection
253 views
Problem-Distributive Property of Cartesian Product Over Intersection
233 views
Distributive Property of Cartesian Product Over Difference
249 views
Problem-Distributive Property of Cartesian Product Over Difference
193 views
Identity With Respect to Intersection
227 views
Problem-Identity With Respect to Intersection
233 views
2.5: Properties of Union and Intrersection (
Practice Test
)
Associativity of Union of three sets
4106 views
Problem-Associativity of Union of three sets
1025 views
Associativity of Intersection of three sets
2778 views
Problem-Associativity of Intersection of three sets
771 views
Distributivity of Union over Intersection
2085 views
Problem-Distributivity of Union over Intersection
781 views
De Morgans Law
5114 views
Problem-De Morgans Law
1114 views
More on De Morgans Law
2469 views
Problem-More on De Morgans Law
664 views
Introducing Venn Diagram
10489 views
Problem-Introducing Venn Diagram
3237 views
Commutative Law of Union of Sets
3535 views
Problem-Commutative Law of Union of Sets
1323 views
Commutative Law of Intersection of Sets
1987 views
Problem-Commutative Law of Intersection of Sets
809 views
Intersection Associativity for Overlapping Sets
2640 views
Problem-Intersection Associativity for Overlapping Sets
885 views
Intersection Associativity for Disjoint Sets
815 views
Problem-Intersection Associativity for Disjoint Sets
606 views
Intersection Associativity for Sets
679 views
More on Intersection Associativity for Sets
619 views
Problem1-Intersection Associativity for Sets
531 views
Problem2-Intersection Associativity for Sets
499 views
Union Associativity for Overlapping Sets
2723 views
Problem-Union Associativity for Overlapping Sets
522 views
Union Associativity for Disjoint Sets
572 views
Problem-Union Associativity for Disjoint Sets
457 views
Union Associativity for Sets
598 views
Problem-Union Associativity for Sets
428 views
More on Union Associativity for Set
517 views
Problem-More on Union Associativity for Set
410 views
Distributivity of Union Over Intersection of Sets
2622 views
Problem- Set Distributivity of Union Over Intersection
647 views
Distributivity of Intersection Over Union of Sets
1974 views
Problem-Set Distributivity of Intersection Over Union
568 views
Difference of Sets for Overlapping Sets
1990 views
Problem-Difference of Sets for Overlapping Sets
785 views
Difference of Sets for Disjoint Sets
945 views
Problem-Difference of Sets for Disjoint Sets
628 views
Difference of Sets for a Set & its Subset
735 views
Problem-Difference of Sets for Set and its Subset
635 views
Complement of Union for Overlapping Sets
1088 views
Problem-Complement of Union for Overlapping Sets
851 views
Complement of Intersection for Overlapping Sets
786 views
Problem-Complement of Intersection for Overlapping Sets
588 views
Complement of Intersection for Disjoint Sets
709 views
Problem-Complement of Intersection for Disjoint Sets
519 views
Complement of Union for Disjoint Sets
697 views
Problem-Complement of Union for Disjoint Sets
517 views
Complement of Union for Set & its Subset
613 views
Problem-Complement of Union for Set & its Subset
479 views
Complement of Intersection for Set & its Subset
599 views
Problem-Complement of Intersection for Set-Subset
575 views
De Morgans Law for Overlapping Sets
1221 views
Problem-De Morgans Law for Overlapping Sets
838 views
De Morgans Law for Disjoint Sets
725 views
Problem-De Morgans Law for Disjoint Sets
528 views
De Morgans Law for Set & its Subset
609 views
Problem-De Morgans Law for Set & its Subset
574 views
2.6: Inductive and Deductive Logic (
Practice Test
)
Concept of Induction and Deduction
3007 views
Problem-Concept of Induction and Deduction
734 views
Aristotelian and Non Aristotelian Logics
1219 views
Problem-Aristotelian and Non Aristotelian Logics
809 views
Symbolic Logics
753 views
Problem-Symbolic Logics
461 views
2.7: Implication or Conditional (
Practice Test
)
Introduction to Implication or Conditional
942 views
Problem-Introduction to Implication or Conditional
458 views
Concept of Bi-Conditional
498 views
Problem-Concept of Bi-Conditional
289 views
Conditionals Related with a Given Conditional
343 views
Problem-Conditionals Related with a Given Conditional
242 views
Introducing Tautologies
447 views
Problem-Introducing Tautologies
253 views
Introducing Quantifiers
312 views
2.8: Truth Sets, A Link Between Sets Theory and Logic (
Practice Test
)
A link Between Set Theory and Logic
714 views
More on A link Between Set Theory and Logic
290 views
Further on A link Between Set Theory and Logic
244 views
Problem-A link Between Set Theory and Logic
221 views
2.9: Relations (
Practice Test
)
Introduction to Binary Relation
15947 views
Problem-Introduction to Binary Relation
2866 views
Problem2-Introduction to Binary Relation
7466 views
Domain & Range of Binary Relation
16264 views
Problem1-Domain & Range of Binary Relation
4921 views
Problem2-Domain & Range of Binary Relation
964 views
2.10: Functions (
Practice Test
)
Introduction to Function
33866 views
More on Introduction to Functions
11149 views
Problem1-Introduction to Function
6005 views
Problem2-Introduction to Function
677 views
Problem3-Introduction to Function
6740 views
Problem4-Introduction to Function
4776 views
Implied Domain
377 views
Finding Domain and Range of Functions
4881 views
Types of Relations
700 views
Operations on Functions
656 views
Into Function
9505 views
Problem1-Into Function
2746 views
Problem2-Into Function
432 views
Onto Function
7782 views
Problem1-Onto Function
2303 views
Problem2-Onto Function
433 views
One to One Correspondence
5463 views
Problem1-One to One Function
2057 views
Problem2-One to One Correspondence
524 views
Bijective Function
4605 views
Problem1-Bijective Function
1587 views
Problem2-Bijective Function
365 views
Injective Function
2842 views
Problem1-Injective Function
1111 views
Problem2-Injective Function
246 views
One-One Function
4739 views
Problem-One-One Function
301 views
Set Builder Notation for a Function
495 views
Problem-Set Builder Notation for a Function
309 views
Formulization of Functions
930 views
Algebraic Functions
9511 views
Linear and Quadratic Functions
539 views
Problem-Linear and Quadratic Functions
298 views
Sketching Graphs of Quadratic Functions
737 views
Problem-Sketching Graphs of Quadratic Functions
214 views
2.11: Inverse of a Function (
Practice Test
)
Inverse of a Function
4588 views
More on Inverse of a Function
1843 views
Problem1-Inverse of a Function
465 views
Problem2-Inverse of a Function
1803 views
Domain & Range of Inverse Function
520 views
Square Root and Absolute Value Functions
486 views
Problem-Square Root and Absolute Value Functions
271 views
Common Types of Functions
1006 views
Problem-Constant, Identity and Rational Functions
203 views
Even and Odd Functions
2827 views
Problem-Even and Odd Functions
1438 views
The Modulus of a Function
3806 views
2.12: Binary Operations (
Practice Test
)
Introduction to Binary Operations
2444 views
Problem-Introduction to Binary Operations
1545 views
Multiplication Table
1220 views
Problem-Multiplication Table
1048 views
Operations on Residue Classes Modulo n
1968 views
Problem-Operations on Residue Classes Modulo n
1354 views
Properties of Binary Operations
1592 views
Problem-Properties of Binary Operations
781 views
Theorems on Binary Operation
1526 views
More on Theorems on Binary Operation
321 views
Problem-Theorems on Binary Operation
310 views
2.13: Groups (
Practice Test
)
Introduction to Semi-Group
3254 views
Problem-Introduction to Semi-Group
1057 views
Introduction to Groups
1546 views
Problem-Introduction to Groups
862 views
Introduction to Abelian and Non-Abelian Group
3091 views
Problem-Introduction to Abelian and Non-Abelian Group
1608 views
Finite and Infinite group
1597 views
Problem1-Finite and Infinite Group
592 views
Problem2-Finite and Infinite Group
328 views
2.14: Solution of Linear Equations
Solving Simple Linear Equations in 1 Variable
7064 views
Problem1-Solution of Linear Equations
4647 views
Problem2-Solution of Linear Equations
184 views
2.15: Reversal Law of Inverse (
Practice Test
)
Introduction to Reversal Laws of Inverses
1630 views
Problem-Introduction to Reversal Laws of Inverses
504 views
Theorems on Groups
519 views
More on Theorems on Groups
363 views
Problem-Theorems on Groups
303 views
Problem-Theorems on Abelian Groups
358 views
Composition of a Functions
4293 views
Problem-Composition of Functions
1735 views
Logical Proofs of the Operations on Sets
167 views
More on Logical Proofs of the Operations on Sets
125 views
The Set of Rational Numbers is an Abelian Group
2203 views
The Set of Non-Zero Real Numbers is an Abelian Group
1408 views
The Set of Complex Numbers is an Abelian Group
2235 views
Algebraic Method to find the Inverse Function
1522 views
Problem-Algebraic Method to find the Inverse Function
1299 views
Chapter 3 Matrices and Determinants (
157 videos
)
  (
Practice Test
)
3.1: Introduction (
Practice Test
)
Introducing Matrix
36598 views
More on Introducing Matrix
3625 views
Problem-Introducing Matrix
14050 views
Order of Matrix
10702 views
Problem-Order of Matrix
7790 views
Equal Matrices
7813 views
Problem1-Equal Matrices
5711 views
Problem2-Equal Matrices
3091 views
Row-Column Matrix
10233 views
Problem-Row-Column Matrix
4853 views
Square-Rectangular Matrix
6255 views
Problem-Square-Rectangular Matrix
3522 views
Null Matrix or Zero Matrix
5155 views
Problem-Null Matrix or Zero Matrix
2898 views
Practical Application of Matrices
1786 views
Transpose of Matrix
4496 views
Problem-Transpose of Matrix
3502 views
Negative of Matrix
3473 views
Problem-Negative of Matrix
2472 views
Symmetric & Skew-Symmetric Matrices
5957 views
Problem1-Symmetric & Skew-Symmetric Matrices
4625 views
Problem2-Symmetric & Skew-Symmetric Matrices
856 views
Hermitian and Skew Hermitian Matrix
8301 views
Problem-Hermitian and Skew Hermitian Matrix
1596 views
Triangular Matrices
4232 views
Problem-Triangular Matrices
921 views
Diagonal Matrix
4740 views
Problem-Diagonal Matrix
2480 views
Scalar Matrix
6740 views
Problem-Scalar Matrix
2171 views
Identity Matrix
3307 views
Problem-Identity Matrix
2096 views
Adjoint of Matrix
3804 views
Problem-Adjoint of Matrix
2789 views
Addition of Matrices
4594 views
Problem-Addition of Matrices
2751 views
Subtraction of Matrices
2574 views
Problem-Subtraction of Matrices
1949 views
Multiplication of Matrix by Real Number
3354 views
Problem-Multiplication of Matrix by Real Number
2039 views
Multiplicative Identity of a Matrix
2407 views
Problem-Multiplicative Identity of a Matrix
1725 views
Properties of Transposed Matrices
590 views
Problem-Properties of Transposed Matrices
368 views
Multiplication of Matrices
5440 views
More on Multiplication of Matrices
572 views
Problem1-Multiplication of Matrices
3003 views
Problem2-Multiplication of Matrices
2261 views
Problem3-Multiplication of Matrices
525 views
3.2: Determinant of a 2x2 Matrix (
Practice Test
)
Determinant of 2-by-2 Matrix
4896 views
Problem1-Singular and Non-Singular Matrix
2860 views
Problem2-Singular and Non-Singular Matrix
2106 views
Singular and Non-Singular Matrix
3309 views
Problem-Singular and Non-Singular Matrix
1494 views
Adjoint of Matrix
3804 views
Problem-Adjoint of Matrix
2789 views
Multiplicative Inverse of Non-Singular Matrix
3270 views
Problem-Multiplicative Inverse of Non-Singular Matrix
2407 views
Matrix Inverse Using Adjoint
4424 views
More on Matrix Inverse Using Adjoint
874 views
Problem1-Matrix Inverse Using Adjoint
2520 views
Problem2-Matrix Inverse Using Adjoint
584 views
Problem3-Matrix Inverse Using Adjoint
382 views
Problem4-Matrix Inverse Using Adjoint
399 views
3.3: Solution of Simultaneous Linear Equations By Using Matrices
Solving Simultaneous Equations-Inversion Method
10163 views
Problem-Solving Simultaneous Equations-Inversion Method
1546 views
3.4: Field
Introducing Field
1028 views
Problem-Introducing Field
572 views
3.5: Properties of Matrix Addition, Scalar Multiplication and Matrix Multiplication (
Practice Test
)
Commutative Law Under Addition for Matrices
3496 views
Problem-Commutative Law Under Addition for Matrices
1744 views
Associative Law under Addition and Multiplication of Matrices
1849 views
Problem-Associative Law Under Addition for Matrices
1426 views
Additive Identity of a Matrix
2748 views
Problem-Additive Identity of a Matrix
1687 views
Additive Inverse of a Matrix
2883 views
Problem-Additive Inverse of a Matrix
2711 views
Multiplication of Matrices
5440 views
Problem1-Multiplication of Matrices
3003 views
Problem2-Multiplication of Matrices
2261 views
Associative Law under Multiplication of Matrices
2637 views
Problem-Associative Law under Multiplication of Matrices
1517 views
Distributive Law of Matrices
2198 views
Problem-Distributivity of Matrices
1351 views
Commutative Law of Multiplication of Matrices
1792 views
Problem-Commutative Law of Multiplication of Matrices
1207 views
Prove That c(AB) = (cA)B = A(cB)
503 views
Problem-Prove That c(AB) = (cA)B = A(cB)
395 views
Properties of Scalar Multiplication
494 views
3.6: Determinants (
Practice Test
)
Minor of an Element of a Matrix and Its Determinant
1986 views
Problem-Minor of an Element of a Matrix or Its Determinant
863 views
Cofactor of an Element of a Matrix
2135 views
Problem-Cofactor of an Element of a Matrix
731 views
Determinant of a Sqaure Matrix of Order 3 or greater
1607 views
Problem-Determinant of a Sqaure Matrix of Order 3 or greater
960 views
3.7: Properties of Determinants Which Help in Their Evaluation (
Practice Test
)
Properties of Determinants
1893 views
More on Properties of Determinants
1045 views
Problem 1-Properties of Determinants
1191 views
Problem 2-Properties of Determinants
688 views
Problem 3-Properties of Determinants
582 views
Problem 4-Properties of Determinants
739 views
Properties of Determinants of Order Three
986 views
Problem-Properties of Determinants of Order Three
674 views
Alternate Method For Expanding a Third Order Determinant
885 views
Problem-Alternate Method For Expanding a Third Order Determinant
490 views
3.8: Adjoint and Inverse of a Square Matrix of Order n = 3 or n > 3 (
Practice Test
)
Matrix Inverse Using Adjoint
4424 views
More on Matrix Inverse Using Adjoint
874 views
Problem1-Matrix Inverse Using Adjoint
2520 views
Problem2-Matrix Inverse Using Adjoint
584 views
Adjoint of a Square Matrix of Order n = 3 or n > 3
722 views
Problem-Adjoint of a Square Matrix of Order n = 3 or n > 3
497 views
Transpose of Product of Matrices
1789 views
Property for Whole Inverse of Product of Matrices
484 views
More on Property for Whole Inverse of Product of Matrices
325 views
Problem- Matrices Law for Whole Transpose of Product
1406 views
3.9: Elementary Row and Column Operations on a Matrix (
Practice Test
)
Deriving a Method For Determining Inverses
1135 views
Problem-Deriving a Method For Determining Inverses
465 views
Inverse of Matrix by Row Operation
1299 views
Problem-Inverse of Matrix by Row Operation
468 views
More on Problem- Inverse of Matrix by Row Operation
367 views
Inverse of Matrix by Column Operation
1421 views
Problem-Inverse of Matrix by Column Operation
334 views
More on Problem-Inverse of Matrix by Column Operation
331 views
Triangular Matrices
4232 views
Problem-Triangular Matrices
921 views
Symmetric & Skew-Symmetric Matrices
5957 views
Problem1-Symmetric & Skew-Symmetric Matrices
4625 views
Hermitian and Skew Hermitian Matrix
8301 views
Problem-Hermitian and Skew Hermitian Matrix
1596 views
3.10: Echelon and Reduced Echelon Forms of Matrices (
Practice Test
)
Echelon and Reduced Echelon Form of Matrix
6143 views
Problem-Echelon and Reduced Echelon Form of Matrix
1609 views
Echelon Form of Matrix
1342 views
Problem-Echelon Form of Matrix
683 views
Reduced Echelon Form of Matrix
792 views
Problem-Reduced Echelon Form of Matrix
514 views
Rank of a Matrix
1486 views
Problem-Rank of a Matrix
631 views
Invertible Matrix
548 views
Problem-Invertible Matrix
366 views
Theorems on Invertible Matrix
457 views
More Theorems on Invertible Matrix
318 views
3.11: Systems of Linear Equations (
Practice Test
)
Solution of System of Linear Equations by Row Operation
711 views
Problem-Solution of System of Linear Equations by Row Operation
337 views
Problem-More on Solution of System of Linear Equations by Row Operation
288 views
Solution of Homogeneous Linear Equations
1567 views
More on Solution of Homogeneous Linear Equations
742 views
Problem-Solution of Homogeneous Linear Equations
602 views
More on Problem-Solution of Homogeneous Linear Equations
489 views
3.12: Cramer's Rule (
Practice Test
)
System of Linear Equations
1357 views
More on System of Linear Equations
591 views
Problem-System of Linear Equations
579 views
Consistency and Inconsistency of a System
865 views
Problem-Consistency and Inconsistency of a System
567 views
Solving a System of Three Non-Homogeneous Linear Equations
723 views
Problem-Solving a System of Three Non-Homogeneous Linear Equations
446 views
Solving Simultaneous Equations-Cramers Rule
8952 views
Problem1-Solving Simultaneous Equations-Cramers Rule
580 views
Problem2-Solving Simultaneous Equations-Cramers Rule
406 views
Chapter 4 Quadratic Equations (
105 videos
)
  (
Practice Test
)
4.1: Introduction (
Practice Test
)
Quadratic Equations in 1 Variable
31751 views
Problem-Quadratic Equations in 1 Variable
15016 views
Solving Quadratic Equations by Factorization
12270 views
Problem-Solving Quadratic Equations by Factorization
5593 views
The Theory of Quadratic Equations
2348 views
More on the Theory of Quadratic Equations
790 views
Problem-The Theory of Quadratic Equations
920 views
Solving Quadratic Equations-Completing Squares
16996 views
Problem1-Solving Quadratic Equations-Completing Squares
7632 views
Problem2-Solving Quadratic Equations-Completing Squares
5835 views
Derivation of Quadratic Formula by Completing Square
5622 views
Problem-Derivation of Quadratic Formula by Completing Square
3299 views
Solving Quadratic Equation-Quadratic Formula
4757 views
Problem1-Solving Quadratic Equation-Quadratic Formula
3136 views
Problem2-Solving Quadratic Equation-Quadratic Formula
3132 views
4.2: Solutions of Equations Reduceible to the Quadratic Equation (
Practice Test
)
Solving Equation Having Degree 2n
1538 views
Problem1-Solving Equation Having Degree 2n
723 views
Problem2-Solving Equation Having Degree 2n
552 views
Solving Degree Four Equation
4371 views
Solving Rational Equations
3819 views
Solving Reciprocal Algebraic Equation
3119 views
Solving Exponential Equations
2688 views
Equations with Different Exponential Functions
500 views
More on Equations with Different Exponential Functions
338 views
Problem-Equations with Different Exponential Functions
322 views
Equations with Special Base e
374 views
Problem-Equations with Special Base e
245 views
Exponential Modelling
316 views
Problem1-Exponential Modelling
235 views
Problem2-Exponential Modelling
225 views
Equations Containing Logarithms
251 views
Problem-Equations Containing Logarithms
202 views
Disguised Quadratic Equations
382 views
Problem-Disguised Quadratic Equations
348 views
Solving Algebraic Equations in Products Factors
2049 views
Solving Radical Equations in 1 Variable
5398 views
Problem2-Solving Radical Equations in 1 Variable
3416 views
Solving Equations with Quadratic Radicand at one Side
264 views
Problem-Solving Equations with Quadratic Radicand at one Side
197 views
Problem1-Solving Radical Equations in 1 Variable
3393 views
Equations with Quadratic Radicand at Both Sides
235 views
Problem-Solving Equations with Quadratic Radicands at Both Sides
172 views
Problem- More on Solving Equations with Quadratic Radicands at Both Sides
162 views
Solving sum of radicals equal to constant
2384 views
Solving Sum of Radicals Equal to Linear Expression
214 views
Problem-Solving Sum of Radicals Equal to Linear Expression
208 views
4.3: Three Cube Roots of Unity (
Practice Test
)
Cube Roots of Unity
8339 views
Problem-Cube Roots of Unity
5715 views
Recognize Complex Cube Roots of Unity
3950 views
Properties of Cube Roots of Unity
4091 views
Problem-Properties of Cube Roots of Unity
3017 views
Problems on Cube Roots of Unity
2090 views
Problem-Problems on Cube Roots of Unity
2235 views
4.4: Four Fourth Roots of Unity (
Practice Test
)
Four Fourth Roots of Unity
1703 views
Problem-Four Fourth Roots of Unity
382 views
Properties of Four Fourth Roots of Unity
480 views
Problem-Properties of Four Fourth Roots of Unity
237 views
4.5: Polynomial Functions (
Practice Test
)
Introducing Variable and Constant
11808 views
Problem-Introducing Variable & Constant
3969 views
Introducing Coefficient & Exponent
3282 views
Problem-Introducing Coefficient & Exponent
2341 views
Introduction to Polynomials
9919 views
Problem-Introduction to Polynomials
5133 views
4.6: Theorems (
Practice Test
)
Remainder Theorem
6551 views
Problem-Remainder Theorem
3453 views
Factor Theorem
3287 views
Problem1-Remainder Theorem
1741 views
Problem2-Factor Theorem
2091 views
4.7: Synthetic Division (
Practice Test
)
Synthetic Division Method
5916 views
Finding Quotient & Remainder
1624 views
Problem-Finding Quotient & Remainder
1226 views
4.8: Relations Between the Roots and the Coefficients of a Quadratic Equation
Roots & Coefficients of Quadratic Equation
3490 views
Problem-Roots & Coefficients of Quadratic Equation
2073 views
4.9: Formation of an Equation Whose Roots are Given (
Practice Test
)
Find Quadratic Equation from Given Roots
2144 views
Form Quadratic Equations Whose Roots are Given
2014 views
Problem-Form Quadratic Equations Whose Roots are Given
1769 views
4.10: Nature of the Roots of a Quadratic Equation (
Practice Test
)
Discriminant of Quadratic Expression
6269 views
Problem-Discriminant of Quadratic Expression
3329 views
Finding Discriminant of Quadratic Equation
2518 views
Problem-Finding Discriminant of Quadratic Equation
2340 views
Nature of Roots of Quadratic Equation
3522 views
Problem-Nature of Roots of Quadratic Equation
2462 views
Quadratic Function
408 views
Geometrical Interpretation and the Discriminant
357 views
Problem1-Geometrical Interpretation and the Discriminant-1
297 views
Problem1-Geometrical Interpretation and the Discriminant-2
246 views
Problem2-Geometrical Interpretation and the Discriminant-1
228 views
Verifying Nature of Roots of Equation
2193 views
Finding Unknown with Given Nature of Roots
330 views
Problem1-Finding Unknown with Given Nature of Roots
2487 views
Problem2-Finding Unknown with Given Nature of Roots
2594 views
4.11: Systems of Two Equations Involving Two Variables (
Practice Test
)
System of Two Equations Involving Two Variables
435 views
Problem-System of Two Equations Involving Two Variables
319 views
Solving Linear and Quadratic Equations
842 views
Problem-Solving Linear and Quadratic Equations
482 views
Solving Simultaneous Quadratic Equations
3499 views
Solving 2nd Degree Equations in General Form Type 1
470 views
Problem-Solving 2nd Degree Equations in General Form Type 1
341 views
Solving 2nd Degree Equations in General Form Type 2
346 views
Case2-Solving 2nd Degree Equations in General Form Type 2
354 views
Case3-Solving 2nd Degree Equations in General Form Type 2
313 views
Case4-Solving 2nd Degree Equations in General Form Type 2
284 views
Case5-Solving 2nd Degree Equations in General Form Type 2
354 views
4.12: Problems on Quadratic Equations
Problem Leading to Quadratic Equations.
2667 views
Problem-Problem Leading to Quadratic Equations.
2280 views
Chapter 5 Partial Fractions (
20 videos
)
  (
Practice Test
)
5.1: Introduction (
Practice Test
)
Partial Fractions
9595 views
Problem2-Introducing Partial Fractions
1896 views
Problem3-Introducing Partial Fractions
1359 views
Problem4-Introducing Partial Fractions
895 views
Types of Equations
595 views
Problem-Kinds of Equations
411 views
5.2: Rational Fraction
Introduction to Rational Fraction
783 views
Problem-Introduction to Rational Fraction
497 views
5.3: Resolution of a Rational Fraction P(x)/Q(x) Into Partial Fractions (
Practice Test
)
Problem-Resolving Fractions-Non-Repeated Linear Factors
5382 views
Problem1-Resolving Fractions-Non-Repeated Linear Factors
425 views
Problem-More on Resolving Fractions-Non-Repeated Linear Factors
318 views
Resolving Fractions-Repeated Linear Factors
4882 views
Problem1-Resolving Fractions-Repeated Linear Factors
3039 views
Problem2-Resolving Fractions-Repeated Linear Factors
315 views
Resolving Fractions-Non-Repeated Irreducible Factors
3437 views
Problem1-Resolving Fractions-Non-Repeated Irreducible Factors
2425 views
Problem2-Resolving Fractions-Non-Repeated Irreducible Factors
300 views
Resolving Fractions-Repeated Irreducible Factors
2567 views
Problem1-Resolving Fractions-Repeated Irreducible Factors
2267 views
Problem-Resolving Fractions-Repeated Irreducible Factors
336 views
Chapter 6 Sequences and Series (
97 videos
)
  (
Practice Test
)
6.1: Introduction (
Practice Test
)
Introduction to Sequence and Series
9207 views
Problem-Introduction to Sequence and Series
4119 views
Convergent, Divergent and Periodic Sequences
2856 views
Problem-Convergent, Divergent and Periodic Sequences
1582 views
6.2: Types of Sequences
General Term in a Number Sequence
1991 views
Problem-General Term in a Number Sequence
1458 views
6.3: Arithmetic Progression (A.P)
Concept of Arithmetic Progression
4717 views
Problem-Concept of Arithmetic Progression
2716 views
6.4: Arithmetic Mean (A.M) (
Practice Test
)
Concept of Arithmetic Mean
2924 views
Problem-Concept of Arithmetic Mean
1581 views
n Arithmetic Means Between Two Given Numbers
4664 views
6.5: Series (
Practice Test
)
Concept of Series
1872 views
Problem1-Concept of Series
1517 views
Problem2-Concept of Series
1005 views
Sum of First n Terms of an Arithmetic Series
1609 views
Problem-Sum of First n Terms of an Arithmetic Series
1004 views
To Find the Sum of n A.M
1142 views
Problem-To Find the Sum of n A.M
792 views
To Find the Sum of p A.M
659 views
Problem-To Find the Sum of p A.M
593 views
6.6: Word Problems on A.P. (
Practice Test
)
Word Problems on Arithmetic Progression
891 views
Solving Word Problem on Arithmetic Progression
598 views
Problem1-Word Problems on Arithmetic Progression
690 views
Problem2-Word Problems on Arithmetic Progression
535 views
6.7: Geometric Progressions (G.P)
Concept of Geometric Progressions
2263 views
Problem1-Concept of Geometric Progressions
1213 views
Problem2-Concept of Geometric Progressions
963 views
6.8: Geometric Means (
Practice Test
)
Concept of Geometric Means
2099 views
Problem-Concept of Geometric Means
795 views
n Geometric Means Between Two Given Numbers
1379 views
Problem-n Geometric Means Between Two Given Numbers
684 views
6.9: Sum of n Terms of a Geomeric Series (
Practice Test
)
Introduction to Geometric Series
1123 views
Problem-Introduction to Geometric Series
790 views
Sum of n Terms of a Geometric Series
1116 views
Problem-Sum of n Terms of a Geometric Series
711 views
6.10: The Infinite Geometric Series (
Practice Test
)
The Infinite Geometric Series
1867 views
More on The Infinite Geometric Series
682 views
Problem1-The Infinite Geometric Series
530 views
Problem2-The Infinite Geometric Series
496 views
Recurring Decimals
608 views
6.11: Word Problems on G.P. (
Practice Test
)
Word Problems on Geometric Series
929 views
More on Word Problems on Geometric Series
487 views
Problem1-Word Problems on Geometric Series
474 views
Problem2-Word Problems on Geometric Series
384 views
Problem3-Word Problems on Geometric Series
381 views
6.12: Harmonic Progerssion ( H.P) (
Practice Test
)
Concept of Harmonic Progression
1402 views
Problem-Concept of Harmonic Progression
683 views
General Term of Harmonic Progression
624 views
The Characteristic Relation for H.P
446 views
Problem-The Characteristic Relation for H.P
369 views
An Important Theorem
427 views
More on An Important Theorem
329 views
Problem-An Important Theorem
309 views
Problem-Concept of Harmonic Mean
384 views
Concept of Harmonic Mean
1978 views
Problem-General Term of Harmonic Progression
466 views
n Harmonic Means Between Two Numbers
1894 views
Problem-n Harmonic Means Between Two Numbers
540 views
6.13: Relations Between Arithmetic, Geometric and Hamonic Means (
Practice Test
)
Relations Between A.M, G.M & H.M
1603 views
More on Relations Between A.M, G.M & H.M
512 views
Problem-Relations Between A.M, G.M & H.M
617 views
6.14: Sigma Notation ( or Summation Notation )
Sigma Notation ( or Summation Notation )
2003 views
Problem 1-Sigma Notation ( or Summation Notation )
1364 views
Problem 2 -Sigma Notation ( or Summation Notation )
1056 views
6.15: To Find Formulae For The Sums (
Practice Test
)
Sum of Positive Integral Powers of Natural Numbers
2877 views
Alternate Formula For sum of n Numbers
1381 views
Problem-Alternate Formula For sum of n Numbers
816 views
Alternate Formula For Sum of n Squares
715 views
More on Alternate Formula For Sum of n Squares
522 views
Problem-Alternate Formula For Sum of n Squares
522 views
Alternate Formula For Sum of n Cubes
522 views
More on Alternate Formula For Sum of n Cubes
395 views
Problem1-Alternate Formula For Sum of n Cubes
442 views
Problem2-Alternate Formula For Sum of n Cubes
372 views
Arithmetical-Geometric Series
937 views
Problem-Arithmetical-Geometric Series
605 views
Sum of n Terms of Arithmetical-Geometric Series
1053 views
More on Sum of n Terms of Arithmetical-Geometric Series
561 views
Further on Sum of n Terms of Arithmetical-Geometric Series
454 views
Problem-Sum of n Terms of Arithmetical-Geometric Series
499 views
Sum to Infinity of Arithmetico-Geometric Series
815 views
Problem-Sum to Infinity of Arithmetico-Geometric Series
694 views
The Method of Differences
920 views
Problem-The Method of Differences
588 views
A Series Each Term Having r Factors in A.P
875 views
More on A Series Each Term Having r Factors in A.P-1
711 views
More on A Series Each Term Having r Factors in A.P-2
679 views
More on A Series Each Term Having r Factors in A.P-3
583 views
Problem-A Series Each Term Having r Factors in A.P
552 views
Introduction to Reciprocal Series
604 views
More on Introduction to Reciprocal Series1
374 views
More on Introduction to Reciprocal Series2
316 views
More on Introduction to Reciprocal Series3
306 views
Problem-Introduction to Reciprocal Series1
318 views
Problem-Introduction to Reciprocal Series2
297 views
Summation of Series By Partial Fractions
697 views
Problem-Summation of Series By Partial Fractions
478 views
Chapter 7 Permutation, Combination and Probability (
45 videos
)
  (
Practice Test
)
7.1: Introduction (
Practice Test
)
The Counting Principles
5564 views
Introduction to Factorial Notation
3374 views
Problem-Introduction to Factorial Notation
2855 views
7.2: Permutation (
Practice Test
)
Introduction to Permutation
6193 views
Problem-Introduction to Permutation
4286 views
Permutation of Things Not All Different
3782 views
Problem-Permutation of Things Not All Different
2366 views
Circular Permutation
2918 views
Problem-Circular Permutation
2077 views
7.3: Combinations (
Practice Test
)
Introduction to Combinations
3175 views
Problem1-Introduction to Combinations
1744 views
Problem2-Introduction to Combinations
1279 views
Complementary Combination
1674 views
Problem1-Complementary Combination
1125 views
Problem2-Complementary Combination
1033 views
7.4: Probability (
Practice Test
)
Introduction to Probability
2491 views
Problem-Introduction to Probabillity
1618 views
Experiments and Sample Space
1601 views
Problem-Experiments and Sample Space
830 views
Definition of Probability
2434 views
Problem-Definition of Probability
999 views
Basic Terminology
1131 views
Probability as Long Term Relative Frequency
1158 views
Problem Solving Strategies in Probability
801 views
Probability and Venn Diagrams
584 views
More on Probability and Venn Diagrams
506 views
Possible Outcomes in the Sample Space
890 views
Problem-Possible Outcomes in the Sample Space
480 views
Simple Combined Events and Possibility Diagrams
834 views
Problem-Simple Combined Events and Possibility Diagrams
418 views
Simple Combined Events and Tree Diagrams
843 views
Estimating Probabilities and Tally Marks
489 views
Problem-Estimating Probabilities and Tally Marks
362 views
Addition of Probabilities and Mutually Exclusive Events
1288 views
Problem-Addition of Probabilities of Mutually Exclusive Events
666 views
Addition of Probabilities of Overlapping Events
406 views
Problem-Addition of Probabilities of Overlapping Events
329 views
Addition of Probabilities of Disjoint Events
391 views
Addition of Probabilities of Subset Events
369 views
Problem-Addition of Probabilities of Subset Events
313 views
Multiplication of Probabilities and Independent Events
987 views
More on Multiplication of Probabilities and Independent Events
683 views
Problem-Multiplication of Probabilities of Independent Events
389 views
Multiplication of Probabilities of n Independent Events
454 views
Problem-Multiplication of Probabilities of n Independent Events
417 views
Chapter 8 Mathematical Inductions and Binomial Theorems (
41 videos
)
  (
Practice Test
)
8.1: Introduction
Introduction to Mathematical Induction
6888 views
Problem-Introduction to Mathematical Induction
3865 views
8.2: Principle of Mathematical Induction (
Practice Test
)
Principle of Mathematical Induction
3279 views
More on Principle of Mathematical Induction
1551 views
Problem1-Principle of Mathematical Induction
1705 views
Problem2-Principle of Mathematical Induction
1101 views
Sum of Positive Integral Powers of Natural Numbers
2877 views
8.3: Principle of Extended Mathematical Induction
Principle of Extended Mathematical Induction
1845 views
Problem1-Principle of Extended Mathematical Induction
1347 views
Problem2-Principle of Extended Mathematical Induction
979 views
8.4: Binomial Theorem (
Practice Test
)
Introduction to Binomial Theorem
3081 views
Problem1-Introduction to Binomial Theorem
1957 views
Problem2-Introduction to Binomial Theorem
1308 views
Proof of Binomial Theorem
1726 views
More on Proof of Binomial Theorem
883 views
Problem1-Proof of Binomial Theorem
826 views
Problem2-Proof of Binomial Theorem
584 views
Deductions From Binomial Theorem
879 views
Problem1-Deductions From Binomial Theorem
633 views
Problem2-Deductions From Binomial Theorem
520 views
Some Important Observations
838 views
Pascal's Triangle
832 views
Problem1-Pascal's Triangle
582 views
Problem2-Pascal's Triangle
477 views
The Middle Term in the Expansion of ( a + x ) ^n
921 views
Problem1-The Middle Term in the Binomial Expansion
662 views
Problem2-The Middle Term in the Binomial Expansion
480 views
More on Problem2-The Middle Term in the Binomial Expansion
449 views
Problem3-The Middle Term in the Binomial Expansion
495 views
Some Deductions From the Binomial Expansion
1136 views
Problem1-Some Deductions From the Binomial Expansion
679 views
Problem2-Some Deductions From the Binomial Expansion
498 views
Problem3-Some Deductions From the Binomial Expansion
496 views
8.5: The Binomial Theorem When the Index n is a Negative Integer or a Fraction.
The Binomial Theorem With Negative Integer Index
1297 views
Problem-The Binomial Theorem With Negative Integer Index
815 views
Some Particular Cases of the Binomial Expansion
741 views
Problem-Some Particular Cases of the Binomial Expansion
628 views
8.6: Applications of the Binomial Theorem
Applications of the Binomial Theorem
1157 views
More on Applications of the Binomial Theorem
671 views
Problem1-Applications of the Binomial Theorem
642 views
Problem2-Applications of the Binomial Theorem
623 views
Chapter 9 Fundamentals of Trigonometry (
55 videos
)
  (
Practice Test
)
9.1: Introduction
Introduction to Trigonometry
9400 views
Problem1-Introduction to Trigonometry
4293 views
9.2: Units of Measures of Angles (
Practice Test
)
Introduction to an Angle
10000 views
Measuring an Angle in Sexagesimal System
10229 views
Problem1-Measuring an Angle in Sexagesimal System
2492 views
Sexagesimal System into Decimal form & Vice Versa
6268 views
Problem-Sexagesimal System into Decimal form & Vice Versa
1591 views
Radian Measure of an Angle
5165 views
Problem1-Radian Measure of an Angle
1884 views
Problem2-Radian Measure of an Angle
1268 views
9.3: Relation Between the Length of an Arc of a Circle (
Practice Test
)
Relationship of Radius-Central Angle-Arc Length
4832 views
Problem1-Relationship of Radius-Central Angle-Arc Length
2380 views
Problem2-Relationship of Radius-Central Angle-Arc Length
816 views
Area of a Circular Sector
3384 views
Problem1-Area of a Circular Sector.
2179 views
Problem2-Area of a Circular Sector.
726 views
Problems Using Arcs and Sectors
740 views
More on Problems Using Arcs and Sectors
665 views
Relationship Between Radians & Degrees
4406 views
9.4: General Angle ( Coterminal Angles )
General Angles
6051 views
Problem-General Angles
1327 views
9.5: Angle in the Standard Position (
Practice Test
)
Angle in Standard Position
3513 views
Problem-Angle in Standard Position
2337 views
The Quadrants & Quadrantal Angles
3308 views
Problem-The Quadrants & Quadrantal Angles
2606 views
9.6: Trigonometric Functions (
Practice Test
)
Trigonometric Ratios of Acute Angles
5480 views
Problem-Trigonometric Ratios of Acute Angles
1922 views
Trigonometric Ratios of Complementary Angles
1822 views
Problem-Trigonometric Ratios of Complementary Angles
1262 views
9.7: Trigonometric Functions of Any Angle
Trigonometric Ratios & Their Reciprocals
3854 views
Problem1-Trigonometric Ratios & Their Reciprocals
412 views
Problem2-Trigonometric Ratios & Their Reciprocals
2003 views
9.8: Fundamental Identities (
Practice Test
)
Proof of Fundamental Trigonometric Identity
6632 views
More on Fundamental Trigonometric Identity
2756 views
Problem1-Proof of Fundamental Trigonometric Identity
4231 views
Problem2-Proof of Fundamental Trigonometric Identity
2247 views
Problem3-Proof of Fundamental Trigonometric Identity
1984 views
Problem4-Proof of Fundamental Trigonometric Identity
1925 views
Problem5-Proof of Fundamental Trigonometric Identity
661 views
Problem6-Proof of Fundamental Trigonometric Identity
1933 views
9.9: Signs of the Trigonometric Functions (
Practice Test
)
Signs of Trigonometric Ratios in Different Quadrants
4060 views
Problem1-Signs of Trigonometric Ratios in Different Quadrant
2081 views
Problem2-Signs of Trigonometric Ratios in Different Quadrant
618 views
Trigonometric Functions for a Unit Circle
1094 views
9.10: The Values of Trigonometric Functions of Acute Angles (
Practice Test
)
Trigonometric Ratios of 45 Degree
6104 views
Problem-Trigonometric Ratios of 45 Degree
2499 views
Trigonometric Ratios of 30 & 60 Degree
5589 views
Problem1-Trigonometric Ratios of 30 & 60 Degree
1981 views
Problem2-Trigonometric Ratios of 30 & 60 Degree
817 views
9.11: The Values of the Trigonometric Functions of Angles 0, 90, 180, 270, 360 Degrees
Values of Trigonometric Ratios at Quadrantal Angle
3344 views
Problem-Values of Trigonometric Ratios at Quadrantal Angle
3425 views
9.12: Domains of Trigonometric Functions and of Fundamental Identities
Domain and Ranges of Trigonometric Functions and Fundamental Identities
5295 views
Problem1-Domain and Ranges of Trigonometric Functions and Fundamental Identities
2341 views
Problem2-Domain and Ranges of Trigonometric Functions and Fundamental Identities
1219 views
Problem3-Domain and Ranges of Trigonometric Functions and Fundamental Identities
968 views
Chapter 10 Trigonometric Identities Sum and Difference of Angles (
43 videos
)
  (
Practice Test
)
10.1: Introduction (
Practice Test
)
Derivation of Distance formula
11702 views
Problem2-Derivation of Distance formula
1290 views
Use of Distance formula
5389 views
Problem2-Use of Distance formula
839 views
Fundamental Law of Trigonometry
5575 views
More on Fundamental Law of Trigonometry
2949 views
Problem-Fundamental Law of Trigonometry
1579 views
Proof of Angle Addition Formula for Cosine
1185 views
More on Proof of Angle Addition Formula for Cosine
618 views
Problem-Proof of Angle Addition Formula for Cosine
749 views
10.2: Deductions From Fundamental Law (
Practice Test
)
Deductions From Fundamental Law
1866 views
More on Deductions From Fundamental Law1
1057 views
More on Deductions From Fundamental Law2
742 views
Problem1-Deductions From Fundamental Law
925 views
Problem2-Deductions From Fundamental Law
571 views
Problem3-Deductions From Fundamental Law
637 views
10.3: Trigonometric Ratios and Allied Angles (
Practice Test
)
Trigonometric Ratios and Allied Angles
2704 views
More on Trigonometric Ratios and Allied Angles
1198 views
Problem1-Trigonometric Ratios and Allied Angles
1278 views
Problem2-Trigonometric Ratios and Allied Angles
776 views
Maximum and Minimum Value of given Trigonometric Function
846 views
More on Maximum and Minimum Value of given Trigonometric Function
446 views
Writing aSinA + bCosA in the Form r Sin(A + B )
1066 views
Solving aSinA + bCosA = c
778 views
10.4: Further Application of Basic Identities (
Practice Test
)
Further Application of Basic Identities
919 views
Problem1-Further Application of Basic Identities
640 views
More on Further Application of Basic Identities
499 views
Problem2-Further Application of Basic Identities
553 views
10.5: Double angle Identities
Double Angle Identities
1172 views
Problem-Double Angle Identities
750 views
10.6: Half Angle Identities
Half Angle Identities
942 views
Problem-Half Angle Identities
545 views
10.7: Triple Angle Identities (
Practice Test
)
Triple Angle Identities
711 views
More on Triple Angle Identities
372 views
Further on Triple Angle Identities
297 views
Problem1-Triple Angle Identities
346 views
Problem2-Triple Angle Identities
300 views
10.8: Sum, Difference and Product of Sines and Cosines (
Practice Test
)
Product to Sum or Difference of Sines and Cosines
1052 views
Problem-Product to Sum or Difference of Sines and Cosines
584 views
Sum or Difference to Product of Sines and Cosines
597 views
More on Sum or Difference to Product of Sines and Cosines
420 views
Problem-Sum or Difference to Product of Sines and Cosines
476 views
Applications of Product of Sines and Cosines
594 views
Chapter 11 Trigonometric Functions and Their Graphs (
39 videos
)
  (
Practice Test
)
11.1: Introduction (
Practice Test
)
Domain and Ranges of Trigonometric Functions and Fundamental Identities
5295 views
Problem1-Domain and Ranges of Trigonometric Functions and Fundamental Identities
2341 views
Problem2-Domain and Ranges of Trigonometric Functions and Fundamental Identities
1219 views
Problem3-Domain and Ranges of Trigonometric Functions and Fundamental Identities
968 views
Domain and Ranges of Sine and Cosine Functions
1519 views
More on Domain and Ranges of Sine and Cosine Functions
729 views
Problem-Domain and Ranges of Sine and Cosine Functions
586 views
Domain and Ranges of Tangent and Cotangent Functions
1159 views
More on Domain and Ranges of Tangent and Cotangent Functions
695 views
Problem-Domain and Ranges of Tangent and Cotangent Functions
488 views
Domain and Range of Secant Function
792 views
More on Domain and Range of Secant Function
410 views
Problem-Domain and Range of Secant Function
369 views
Domain and Ranges of Cosecant Function
534 views
More on Domain and Range of Cosecant Function
348 views
Problem-Domain and Range of Cosecant Function
360 views
11.2: Period of Trigonometric Functions
Introduction to Period of Trigonometric Functions
2782 views
Problem-Introduction to Period of Trigonometric Functions
1098 views
11.3: Values of Trigonometric Functions
Values of Trigonometric Functions
591 views
Problem-Values of Trigonometric Functions
366 views
11.4: Graphs of Trigonometric Functions
Graphs of Trigonometric Functions
1836 views
Problem-Graphs of Trigonometric Functions
919 views
11.5: Graph of y = Sin x From - 360 to 360 Degrees
Problem1-Graph of y = Sin x From - 360 to 360 Degree
533 views
11.6: Graph of y = Cos x From - 360 to 360 Degrees
Problem1-Graph of y = Cos x From - 360 to 360 Degree
322 views
Problem2-Graph of y = Cos x From - 360 to 360 Degree
278 views
11.7: Graph of y = Tan x From - 180 to 180 Degrees
Graph of y = Tan x From - 180 to 180 Degree
684 views
Problem-Graph of y = Tan x From - 180 to 180 Degree
397 views
11.8: Graph of y = Cot x From - 360 to 180 Degrees
Graph of y = Cot x From - 360 to 180 Degree
380 views
Problem-Graph of y = Cot x From - 360 to 180 Degree
270 views
11.9: Graph of y = Sec x From - 360 to 360 Degrees
Problem-Graph of y = Sec x From - 360 to 360 Degree
255 views
11.10: Graph of y = Cosec x From - 360 to 360 Degrees (
Practice Test
)
Problem-Graph of y = Cosec x From - 360 to 360 Degree
220 views
Graph of Sin2A and Cos2A Where A is a Positive Constant
402 views
More on Graph of Sin2A and Cos2A Where A is a Positive Constant
273 views
Symmetric Properties of the Graph of SinA, CosA and TanA
453 views
Periodic Properties of the Graph of SinA, CosA and TanA
507 views
Translation Property of the Graph of SinA, CosA and TanA
446 views
More on Translation Property of the Graph of SinA, CosA and TanA
297 views
Maximum and Minimum Values of Certain Trigonometric Functions
415 views
Graphical Solution of Some Trigonometric Equations
527 views
Chapter 12 Application of Trigonometry (
70 videos
)
  (
Practice Test
)
12.1: Introduction (
Practice Test
)
Solving Right-Angled Triangles by Trigonometric Ratios
2560 views
Using Calculator to Solve Trigonometric Ratios
969 views
12.2: Tables of Trigonometric Ratios
Tables of Trigonometric Ratios
1089 views
Problem1-Tables of Trigonometric Ratios
3681 views
Problem2-Tables of Trigonometric Ratios
348 views
Problem3-Tables of Trigonometric Ratios
246 views
Problem4-Tables of Trigonometric Ratios
429 views
12.3: Solution of Right Triangles (
Practice Test
)
Word problem when one Side and Angle of Elevation are Given
2256 views
Problem-When one Side & Angle of Elevation are Given
417 views
Right Angles in 3-Dimensions
447 views
More on Right Angles in 3-Dimensions
309 views
Problem-Heights and Distances
982 views
Word problem when one Side and Angle of Depression are Given
1327 views
Problem1-when One Side & Angle of Depression are Given
1286 views
Problem2-when One Side & Angle of Depression are Given
207 views
Word problem when Hypotenuse and Angle of Elevation are Given
1016 views
Problem-when Hypotenuse & Angle of Elevation are Given
991 views
Word Problem with given Sides-Angle of Elevation-Depression
1016 views
Problem1-when Given Sides-Angle of Elevation-Depression
1387 views
Problem2-when Given Sides-Angle of Elevation-Depression
1074 views
Problem3a-when Given Sides-Angle of Elevation-Depression
193 views
Problem3b-when Given Sides-Angle of Elevation-Depression
194 views
More Examples on Application of Trigonometry
491 views
12.4: (a)-Heights and Distances
Heights and Distances
2217 views
Problem-Heights and Distances
982 views
12.5: (b)-Ang;les of Elevation and Depression
Concept of Angle of Elevation & Depression
3762 views
Problem-Concept of Angle of Elevation & Depression
2307 views
12.6: Engineering and Heights and Distances (
Practice Test
)
Engineering and Heights and Distances
541 views
More on Engineering and Heights and Distances
403 views
Problem1-Engineering and Heights and Distances
278 views
Problem2-Engineering and Heights and Distances
242 views
12.7: Oblique Triangles (
Practice Test
)
Concept of Oblique Triangles
735 views
Problem-Concept of Oblique Triangles
247 views
The Sine Rule
2829 views
Problem-The Sine Rule
747 views
Examples on Sine Rule
495 views
Application of the Sine Rule
301 views
The Cosine Rule
2090 views
Problem1-The Cosine Rule
466 views
More on The Cosine Rule
1083 views
The Law of Tangents
1631 views
More on The Law of Tangents
612 views
Problem-The Law of Tangents
484 views
Half Angle Formulas
1096 views
Problem-The Sine of Half the Angle Formula
292 views
The Cosine of Half the Angle in Terms of the Sides
485 views
Problem-The Cosine of Half the Angle in Terms of the Sides
239 views
The Tangents of Half the Angle in Terms of the Sides
408 views
Problem-The Tangents of Half the Angle in Terms of the Sides
235 views
12.8: Solution of Oblique Triangles (
Practice Test
)
When Measures of One Side and Two Angles are Given
539 views
Problem-When Measures of One Side and Two Angles are Given
222 views
When Measures of Two Side and Their Included Angles are Given
479 views
Problem-When Measures of Two Side and Their Included Angles are Given
218 views
When Measures of Three Sides are Given
425 views
12.9: Area of Triangle (
Practice Test
)
Area of Triangle by Measuring Two Sides and Their Included Angle
1713 views
Area of Eqilateral Triangle With Given Sides
418 views
Problem-Area of Eqilateral Triangle With Given Sides
227 views
Area of a Triangle with Given Sides
414 views
More on Area of a Triangle with Given Sides
285 views
12.10: Circles Connected With Triangle (
Practice Test
)
Circles Connected With Triangles
790 views
Problem-Circles Connected With Triangles
443 views
Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
1204 views
More on Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
573 views
Problem1-Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
389 views
Relation Among In-Radius, Perimeter & Area of Triangle
752 views
Problem-Relation Among In-Radius, Perimeter & Area of Triangle
317 views
Relation Among ex-Radius, Perimeter & Area of Triangle
780 views
Problem-Relation Among ex-Radius, Perimeter & Area of Triangle
348 views
12.11: Engineering and Circles Connected With Triangles
Engineering and Circles Connected With Triangles
496 views
Problem-Engineering and Circles Connected With Triangles
265 views
Chapter 13 Inverse Trigonometric Functions (
32 videos
)
  (
Practice Test
)
13.1: Introduction (
Practice Test
)
Introduction to Inverse Trigonometric Functions
3940 views
Vertical and Horizontal Line Tests
2126 views
More on Vertical and Horizontal Line Tests
941 views
13.2: The Inverse Sine Function (
Practice Test
)
The Inverse Sine Function
2050 views
Problem1-The Inverse Sine Function
1405 views
Problem2-The Inverse Sine Function
701 views
Inverse Relation of General Sine Functions
589 views
13.3: The Inverse Cosine Function
The Inverse Cosine Function
653 views
Problem1-The Inverse Cosine Function
510 views
Problem2-The Inverse Cosine Function
329 views
13.4: The Inverse Tangent Function
The Inverse Tangent Function
587 views
Problem1-The Inverse Tangent Function
440 views
Problem2-The Inverse Tangent Function
334 views
13.5: Inverse Cotangent, Secant and Cosecant Functions (
Practice Test
)
Inverse Cotangent, Secant and Cosecant Functions
560 views
More on Inverse Cotangent, Secant and Cosecant Functions
352 views
Further on Inverse Cotangent, Secant and Cosecant Functions
310 views
Problem1-Inverse Cotangent, Secant and Cosecant Functions
342 views
Problem2-Inverse Cotangent, Secant and Cosecant Functions
260 views
13.6: Domains and Ranges of Principal Trigonometric Function (
Practice Test
)
Domains and Ranges of Principal Trigonometric Function and Inverse Trigonometric Functions
1139 views
Problem1-Domains and Ranges of Principal andInverse Trigonometric Functions
450 views
Problem2-Domains and Ranges of Principal andInverse Trigonometric Functions
320 views
Problem3-Domains and Ranges of Principal andInverse Trigonometric Functions
257 views
Problem4-Domains and Ranges of Principal andInverse Trigonometric Functions
273 views
Problem5-Domains and Ranges of Principal andInverse Trigonometric Functions
264 views
Problem6-Domains and Ranges of Principal andInverse Trigonometric Functions
256 views
Inverse Trigonometric Identities
458 views
More on Inverse Trigonometric Identities
329 views
Further on Inverse Trigonometric Identities
313 views
13.7: Addition and Subtraction Formulas (
Practice Test
)
Addition and Subtraction Formulas
845 views
Problem1-Addition and Subtraction Formulas
493 views
More on Addition and Subtraction Formulas
467 views
Problem2-Addition and Subtraction Formulas
482 views
Chapter 14 Solutions of Trigonometric Equations (
21 videos
)
  (
Practice Test
)
14.1: Introduction (
Practice Test
)
Introduction to Solutions of Trigonometric Equations
3153 views
Problem-Introduction to Solutions of Trigonometric Equations
1673 views
Solution of the Type SinA = k, Cos A = k and TanA = k
1374 views
14.2: Solution of General Trigonometric Equations (
Practice Test
)
Solution of General Trigonometric Equations
2223 views
Problem1-Solution of General Trigonometric Equations
1641 views
Problem2-Solution of General Trigonometric Equations
941 views
Problem3-Solution of General Trigonometric Equations
825 views
Solution of General Trigonometric Equations by Factorization
697 views
More on Solution of General Trigonometric Equations by Factorization
683 views
Problem-Solution of General Trigonometric Equations by Factorization
542 views
Solution of Trigonometric Equations by Trigonometric Identities
660 views
Problem-Solution of Trigonometric Equations by Trigonometric Identities
557 views
Solution of Trigonometric Equations by Quadratic Formula
533 views
Problem-Solution of Trigonometric Equations by Quadratic Formula
382 views
Writing aSinA + bCosA in the Form r Sin(A + B )
1066 views
Solving aSinA + bCosA = c
778 views
Trigonometric Equations Containing Principal Functions
450 views
Problem-Trigonometric Equations Containing Principal Functions
407 views
Applications of Inverse Trigonometric Functions
523 views
Problem-Applications of Inverse Trigonometric Functions-1
483 views
Problem-Applications of Inverse Trigonometric Functions-2
517 views
Facebook
Twitter
Instagram
Youtube
Linkedin