- Introduction to Progressions
- Problems on Progressions
- 6.2 Arithmetic Prograssions
- 6.2.1 What is an Arithmetic Progression
- 6.2.2 Parameter of a Arithmetic Progressions
- 6.3 nth Term of an Arithmetic Progression
- 6.4 Sum of First n Terms in Arithmetic Progression
- 6.4.1 How 'Gauss' find the sum of terms
- 6.4.2 Sum of n terms of an AP
- 6.5 Geometric Progressions
- 6.6 nth term of a GP
Sets13
- 2.1 Introduction
- 2.2 Well Defined Sets
- 2.3 Naming of Sets and Elements of a Set
- 2.4 Types of Set
- 2.5 Using Diagrams to Represent Sets
- 2.6 Universal Set and Subsets
- 2.6.1 Equal Sets
- 2.7 Venn Diagrams
- 2.8 Basic Operations on Sets
- 2.8.1 Union of Sets
- 2.8.2 Intersection of Sets
- 2.8.3 Disjoint Set
- 2.8.4 Difference of Sets
- Excercise 1.1
- Exercise 1.2
- Exercise 1.3
- 1.1 Introduction
- 1.2 Exploring Real Numbers
- 1.2.1 The Fundamental Theorem of Arithmetic
- 1.2.2 Rational Numbers and their Decimal Expansions
- 1.2.3 Non-terminating, Recurring Decimals in Rational Numbers
- 1.3 More About Irrational Numbers
- 1.5.1 Exponents Revisted
- 1.5.2 Writing Exponents as Logarithms
- 1.5.3 Laws of Logarithms
- 1.5.4 Standard Bases of a Logarithm (Not mean for examination purpose)
- 1.5.5 Application of logarithms ( Not meant for examination purpose
- 3.1 Introduction
- 3.2 What are Polynomials ?
- 3.2.1 Degree of a Polynomial
- 3.2.2 Value of a Polynomial
- 3.3 Working with Polynomials
- 3.4 Geometrical Meaning of the Zeroes of a polynomial
- 3.4.1 Graphical representation of a linear polynomial
- 3.4.2 Graphical Representation of a Quadratic polynomial
- 3.4.3 Geometrical Meaning of Zeroes of a Cubic Polynomial
- 3.5 Relationship between Zeroes and Coefficients of a Polynomial
- 3.6 Cubic Polynomials
- 3.7 Division Algorith for Polynomials
- 4.1 Introduction
- 4.1.1 How Do We Find Unknown Quantities?
- 4.1.2 Using Both Equations Together
- 4.2 Solutions of pairs of Linear Equations in Two Variables
- 4.2.1 Graphical Method of Finding Solution of a pair of Linear Equations
- 4.3 Algebraic Methods of Finding the Solutions For a Pair of Linear Equations
- 4.3.1 Substitutions Method
- 4.3.2 Elimination Method
- 4.4 Equations reducibile to a
- 7.1 Introduction
- 7.2 Distance Between Two points
- 7.3 Distance Between Two Points in a Line Parallel to the Coordinate Axes
- 7.4 Distance Between Any Two Points on a line in the x-y plane
- 7.5 Section Formula
- 7.6 Centroid of a Triangle
- 7.7 Trisectional Points of Line
- 7.8 Area of the Triangle
- 7.8.1 Collinearity
- 7.8.2 Area of a Triangle - 'Heron's Formula'
- 7.9 Straight Lines
- 7.9.1 Slope of the straight line
- 7.9.2 Slope of a line joining two points
- 8.1 Introduction
- 8.2 Similar Figures
- 8.3 Similarity of Triangles
- 8.3.1 Basic Proportionality Theorem (Thales Theorem)
- 8.4 Criteria for Similarity of Triangles
- 8.4.1 AAA Criterion for Similarity of Triangles
- 8.4.2 SSS Criterion for Similarity of Triangles
- 8.4.3 SAS Criterion for Similarity of Triangles
- 8.5 Areas of Similar Triangles
- 8.6 Pythagoras Theorem
- 8.6.1 Pythagoras Theorem (Baudhayan Theorem)
- 8.7 Different forms of theoritical statements
- 9.1 Introduction
- 9.1.1 A Line and A Circle
- 9.2 Tangents of a Circle
- 9.2.1 Construction of Tangent to a Circle
- 9.3 Number of tangent to a circle from any point
- 9.3.1 Construction of Tangents to a Circle from an External point
- 9.4 Segment of a circle formed by a secant
- 9.4.1 Finding the area of Segment of a Circle
- 11.1 Introduction
- 11.1.1 Naming The Sides in a Right Triangle
- 11.2 Trigonometric Ratios
- 11.2.1 Defining Trigonometric Ratios
- 11.3 Trigonometric Ratios of some angles
- 11.3.1 Trigonometric Ratios of 45 degress
- 11.3.2 Trigonometric Ratios of 30 and 60
- 11.4 Trigonometric Ratios of Complementary angles
- 11.5 Trigonometric Identities
- 13.1 Introduction
- 13.1.1 What is Probability
- 13.2 Probability - A Theoretical Approach
- 13.3 mutually Exclusive Events
- 13.4.1 Finding Probability
- 13.4.2 Complementary Events and Probability
- 13.4.3 ImpossibLE and Certain Events
- 13.5 Deck of Cards and Probability
- 13.6 Use of Probability
- 13.7 More Application of Probability
7.1 Introduction
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