General Math | Class 10

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Chapter 2: Formulas and Factors (23 videos)   (Practice Test)
2.1: Formulae 1
  1. K times Sum of Three Terms
  2. Problem-K times Sum of Three Terms
2.2: Factors and Factorization  (Practice Test)
  1. Zero of Polynomial & Concept of Factor
  2. Problem 1: Zero of Polynomial & Concept of Factor
  3. Introduction to Factorization
  4. Problem-Factorization
2.3: Factrorization of Expressions of the form ka+kb+kc
  1. Factorization of Expressions of the Form ka+kb+kc
  2. Problem-Factorization of Expressions of the Form ka+kb+kc
2.4: Formula II
  1. Factoring Square of Sum Or Difference of Two Terms
2.5: Use of Formulae II and III
  1. Factoring Square of Sum Or Difference of Two Terms
2.6: Factorization of Expressions of the form a^2+2ab+b^2
  1. Problem 1: Factoring Square of Sum Or Difference of Two Terms
2.7: Formula IV
  1. Factoring Difference of Square of Two Terms
2.8: Factorization of Expressions of the form a^2-b^2
  1. Problem-Factoring Difference of Square of Two Terms
  2. Problem 2: Factoring Difference of Square of Two Terms
2.9: Factorization of Expressions Reducible to the form a^2-b^2
  1. Problem 1: Factoring Difference of Square of Two Terms
  2. Problem-Factoring Square of Difference of Two Terms
2.10: Formula V
  1. Factoring Quadratic Equation-Leading Coefficient-1
2.11: Factorization of Expressions of the form x^2+(a+b)x+ab
  1. Problem 1: Factoring Quadratic Equation-Leading Coefficient-1
2.12: Formula VI
  1. Factoring Cube of Sum or Difference of Two Terms
2.13: Factorization of Expressions of the form a^2+3a^2b+3ab^2+b^2
  1. Problem 1: Factoring Cube of Sum or Difference of Two Terms
2.14: Formula VIII
  1. Factoring Sum or Difference of Cube of Two Terms
2.15: Factorization of Expressions of the form a^3+b^3
  1. Problem 1: Factoring Sum or Difference of Cube of Two Terms
  2. Problem 2: Factoring Sum or Difference of Cube of Two Terms
 
Chapter 3: Algebraic Sentences, Matrices and Equations (60 videos)   (Practice Test)
3.1: Linear Equation in Two Variables  (Practice Test)
  1. Recognizing and formation of Linear Equations in One and Two Variabl
  2. Solution of a Linear Equation in Two Unknowns
3.2: Graph of a Linear Equation in Two Variables  (Practice Test)
  1. Cartesian Coordinate System & Cartesian Plane
  2. Locating Ordered Pairs in Cartesian Plane
  3. Problem 1: Locating Ordered Pairs in Cartesian Plane
  4. Constructing Table for Linear Equation in Two Variables
  5. Scale of Graph
  6. Problem 1: Scale of Graph
3.3: 2 X 2 Matrices  (Practice Test)
  1. Introduction to Matrix
  2. More on Introducing Matrix
  3. Problem 1: Introduction to Matrix
  4. Order of Matrix
  5. Problem 1: Order of Matrix
  6. Location of elements in Matrix
  7. Problem 1: Location of elements in Matrix
  8. Square Matrix and Rectangular Matrix
  9. Problem 1: Square Matrix and Rectangular Matrix
3.4: Addition of Matrices  (Practice Test)
  1. Addition of Matrices
  2. Problem 1: Addition of Matrices
  3. Subtraction of Matrices
  4. Problem 1: Subtraction of Matrices
  5. Commutative Law under Addition for Matrices
  6. Problem 1: Commutative Law under Addition for Matrices
  7. Associaitve Law under Addition for Matrices
  8. Problem 1: Associaitve Law under Addition for Matrices
  9. Null Matrix or Zero Matrix
  10. Problem 1: Null Matrix or Zero Matrix
  11. Additive Identity of a Matrix
  12. Problem 1: Additive Identity of a Matrix
  13. Additive Inverse of a Matrix
  14. Problem 1: Additive Inverse of a Matrix
3.5: Multiplication of Matrices  (Practice Test)
  1. Multiplication of Matrix by a Real Number
  2. Problem 1: Multiplication of Matrix by a Real Number
  3. Multiplication of Matrices
  4. More on Multiplication of Matrices
  5. Problem 1: Multiplication of Matrices
  6. Problem 2: Multiplication of Matrices
  7. Problem3-Multiplication of Matrices
  8. Problem4-Multiplication of Matrices
  9. Identity Matrix
  10. Problem 1: Identity Matrix
  11. Adjoint of a Matrix
  12. Problem 1: Adjoint of a Matrix
  13. Determinant of 2-by-2 Matrix
  14. Singular and Non-singular Matrix
  15. Problem 1: Singular and Non-singular Matrix
  16. Multiplicative Inverse of a Non-Singular Matrix
  17. Problem 1: Multiplicative Inverse of a Non-Singular Matrix
3.6: Use of Matrices  (Practice Test)
  1. Solving Simultaneous Equations-Inversion Method
  2. More on Solving Simultaneous Equations-Inversion Method
  3. Practical Application of Matrices
3.7: Properties of Simultaneous Equations and their Solution  (Practice Test)
  1. Graphical Solution of Simultaneous Linear Equations
  2. Solution of Simple Linear Equations in two Variables
  3. Problem 1: Solution of Simple Linear Equations in two Variables
  4. Solving Simultaneous Linear Equations by Substitution
  5. Problem 1: Solving Simultaneous Linear Equations by Substitution
  6. Soving Simultaneous Lnear Equations by Comparison
  7. Solving Simultaneous Linear Equations-Equating-Co-efficient
  8. Solution of Simultaneous linear equations by Cross Multiplication Met
  9. Problem 1: Solution of Simultaneous linear equation by Cross Multipic
 
 
Chapter 5: Practical Geometry (49 videos)   (Practice Test)
5.1: Construction of Triangles  (Practice Test)
  1. Introduction to Practical Geometry
  2. Constructing Triangle with Side & Two Angles
  3. Construction of a Triangle when one angle and two sides
  4. Constructing Triangle with Three Sides
  5. Constructing Right Triangle Using Hypotenuse and Side
  6. Constructing Triangle-Ambiguous Case
  7. Constructing Two Triangle with two sides and opposite Angle
  8. Constructing Three Triangle with two sides and opposite Angle
5.2: Pythagoras Theorem
  1. Pythagoras Theorem-1
  2. Problem 1: Pythagoras Theorem-1
  3. Problem 2: Pythagoras Theorem-1
5.3: Two Special Right Angled Triangles  (Practice Test)
  1. Two Special Right Angled Triangles
  2. More on Two Special Right Angled Triangles
  3. Problem-Two Special Right Angled Triangles
  4. Problem-More on Two Special Right Angled Triangles
5.4: Similarity of Figures  (Practice Test)
  1. Congruent Figures and Objects
  2. Problem-Congruent Figures and Objects
  3. Condition of Similarity of 2 Polygons
  4. Problem-Condition of Similarity of 2 Polygons
  5. Similar Triangles
  6. A line parallel to one side of triangle and intersecting other two si
  7. Converse of Proportional parts of similar triangle
5.5: Constructing Similar Triangles
  1. Constructing Similar Triangles
5.6: The Slope of a Line and its Equation  (Practice Test)
  1. Gradient of a Straight Line
  2. Equations of a Straight Line
  3. More on Equations of Straight Line
  4. Problem-Equations of a Straight Line
5.7: Circle
  1. Problem 1: Circle and its elements
  2. Concept of Central Angle of an Arc
  3. Problem 1: Concept of Central Angle of an Arc
  4. Axial Symmetry of the Circle
5.8: Theorems on Circle  (Practice Test)
  1. Perpendicular radius bisects chord
  2. Problem 1: Perpendicular radius bisects chord
  3. Converse of perpendicular radius bisects chord
  4. Congruent Chords Equidistance from Circle-4
  5. Problem 2: Congruent Chords Equidistance from Circle-4
  6. Problem 1: Congruent Chords Equidistance from Circle-4
  7. Chords Equidistance of Circle are Congruent-5
  8. Problem 1: Chords Equidistance of Circle are Congruent-5
  9. Tangent to Circle-1
  10. Problem 1: Tangent to Circle-1
  11. Converse of Tangent to Circle-2
  12. Problem 1: Converse of Tangent to Circle-2
  13. To Draw the Tangent to a Circle at a Given point on the Circle
  14. Central angle theorem
  15. Problem 1: Central angle theorem
  16. Problem 2: Central angle theorem
  17. Tangent from a Point Outside a Circle
  18. Two Tangents from a Point Outside Circle