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10.4. The Binomial Theorem for Fractional and Negative Indices
10.4. The Binomial Theorem for Fractional and Negative Indices
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Table of Contents
1. SETS AND OPERATION ON SETS
1.1. Venn diagram [Two Set Problem]
48m 53s
1.2. Venn diagram [Three Set Problem]
1h 15m 22s
2. SURDS
2.1. Introduction and Rules of Surds
25m 10s
2.2. Addition and Subtraction of Surds
26m 8s
2.3. Multiplication of Surds
41m 20s
2.4. Rationalization of Surds
2h 14m
2.5. Equality of Surds
1h 11m 31s
2.6. Irrational Equation
34m 18s
3. BINARY OPERATIONS
3.1. Introduction and Some Worked Example
52m 1s
3.2. Closure Property of Binary Operations
13m 53s
3.3. Commutative Property of Binary Operations
23m 14s
3.4. Associative Property of Binary Operations
37m 55s
3.5. Identity and Inverse of an Element
1h 34m 52s
4. RELATIONS AND FUNCTIONS
4.1. Introduction to functions; Finding an Image/Range of a Function
43m 36s
4.2. Types of Functions
27m 1s
4.3. Domain of a Function
26m 22s
4.4. Range of a Function
40m 31s
4.5. Range of a Quadratic Function for a Given Domain
11m 53s
4.6. The Inverse of a Function
22m 29s
4.7. Composite of a Function
2h 9m 50s
5. POLYNOMIAL FUNCTIONS
5.1. Introduction to Polynomial Functions
23m 38s
5.2. Addition, Subtraction and Multiplication of Polynomials
20m 40s
5.3. Division of Polynomials
17m 16s
5.4. The Remainder Theorem
1h 2m 8s
5.5. The Factor Theorem
1h 10m 51s
5.6. Zeroes or Roots of a Polynomial Function
42m 18s
5.7. Repeated Factor Theorem
24m 24s
6. RATIONAL FUNCTIONS
6.1. Introduction to Rational Functions
11m 37s
6.2. Principle of Undetermined Co-efficient
34m 23s
6.3. Partial Fractions (Type 1)
45m 32s
6.4. Partial Fractions (Type 2)
45m 45s
6.5. Partial Fractions (Type 3)
37m 24s
7. INDICES
7.1. Introduction and Rules/Laws of Indices (Part 1)
1h 1m 13s
7.2. Introduction and Rules/Laws of Indices (Part 2)
1h 31m 12s
7.3. Solving Exponential Equations (Part 1)
1h 8m 54s
7.4. Solving Exponential Equations (Part 2)
47m 57s
8. LOGARITHM
8.1. Introduction and Laws/Rules of Logarithm
49m 21s
8.2. Properties and Simplification of Logarithm
43m 12s
8.3. Solving Logarithm Equations
49m 4s
8.4. Change of Base
1h 6m 11s
8.5 Solving More Equations
1h 20m 56s
9. QUADRATICS
9.1. Solving of Quadratic Equations by Factorization
46m 57s
9.2. Solving Quadratic Equations by Completing the Square
28m 5s
9.3. Solving Quadratic Equations in Quadratic Formula
35m 45s
9.4. Solving Equations in Quadratic Form
18m 23s
9.5. Maximum and Minimum Values of a Quadratic Function
35m 41s
9.6. Types or Nature of Roots
1h 34m 14s
9.7. Relationship Between the Roots and Coefficients of a Quadratic Equation (Part 1)
1h 23m 43s
9.8. Relationship Between the Roots and Coefficients of a Quadratic Equation (Part 2)
51m 11s
10. BINOMIAL THEOREM
10.1. Introduction to Binomial Expansion and Pascal’s Triangle
1h 54m 3s
10.2. The Binomial Theorem for Positive Integral Index
2h 57m 3s
10.3. The General Term in the Binomial Expansion
3h 10m 37s
10.4. The Binomial Theorem for Fractional and Negative Indices
2h 40m 50s
10.5. Application of the Binomial Theorem to Approximation
1h 58m 58s
11. CO-ORDINATE GEOMETRY I
11.1. Distance Between Two Points
41m 56s
11.2. Midpoint of Two Points
19m 21s
11.3. Division of a Line Segment in a Given Ratio
33m 8s
11.4. Gradient (Scope) of a Line Segment
27m 32s
11.5. Equation of a Straight Line
40m 54s
11.6. The Point of Intersection Between Two Lines
26m 57s
11.7. Parallel and Perpendicular Lines
1h 48m 9s
11.8. The Length of the Perpendicular Distance of a point to a given line
30m 44s
11.9. The Acute Angle Between Two Intersecting Lines
20m 10s
12. CO-ORDINATE GEOMETRY II
12.1. Introduction and General Form of Equation of a Circle
46m 23s
12.2. Equation of a Circle Given the Centre and a Point on the Circumference
40m 8s
12.3. Equation of a Circle Given Three Points on the Circumference
38m 44s
12.4. Equation of a Circle Given the Ends of a Diameter
23m 7s
12.5. Determination of the Centre and Radius Given the Equation of a Circle.
2h 19m 45s
12.6. Tangent and Normal to a Circle
1h 55m 53s
13. SEQUENCE AND SERIES (A.P)
13.1. Sequence and the General Term
44m 21s
13.2. Series and Sigma (∑) notation
23m 57s
13.3. Introduction to Arithmetic Progression
1h 7m 1s
13.4. The General Term of an Arithmetic Progression
57m 21s
13.5. Sum of the first ‘n’ terms of an Arithmetic Progression
1h 51m 42s
13.6. The Fundamental Equation
24m 39s
14. SEQUENCE AND SERIES (G.P)
14.1. Introduction to Geometric Progression
1h 31m 59s
14.2. General term of a Geometric Progression
1h 47m 40s
14.3. Sum of a G.P
1h 43m 57s
14.4. Sum of Infinity of as G.P
2h 24m 55s
14.5. Recurrence Decimals
27m 42s
14.6. Recurrence Relation
1h 37m 2s
15. PERMUTATION AND COMBINATION
15.1 Algebra of Permutation and Combination
55m 29s
15.2 The Fundamental Principle of Counting
1h 5m 31s
15.3 Permutation
52m 43s
15.4 Combination
48m 43s