1. Real Numbers

1.1 Introduction

1.2 Euclid’s Division Lemma

1.3 The Fundamental Theorem of Arithmetic

1.4 Revisiting Irrational Numbers

1.5 Revisiting Rational Numbers and Their Decimal Expansions

2. Polynomials

2.1 Introduction

2.2 Geometrical Meaning of the Zeroes of a Polynomial

2.3 Relationship between Zeroes and Coefficients of a Polynomial

2.4 Division Algorithm for Polynomials

3. Pair of Linear Equations in Two Variables

3.1 Introduction

3.2 Pair of Linear Equations in Two Variables

3.3 Graphical Method of Solution of a Pair of Linear Equations

3.4 Algebraic Methods of Solving a Pair of Linear Equations

3.4.1 Substitution Method

3.4.2 Elimination Method

3.4.3 Cross-Multiplication Method

3.5 Equations Reducible to a Pair of Linear Equations in Two Variables

4. Quadratic Equations

4.1 Introduction

4.2 Quadratic Equations

4.3 Solution of a Quadratic Equation by Factorisation

4.4 Solution of a Quadratic Equation by Completing the Square

4.5 Nature of Roots

5. Arithmetic Progressions

5.1 Introduction

5.2 Arithmetic Progressions

5.3 nth Term of an AP

5.4 Sum of First n Terms of an AP

6. Triangles

6.1 Introduction

6.2 Similar Figures

6.3 Similarity of Triangles

6.4 Criteria for Similarity of Triangles

6.5 Areas of Similar Triangles

6.6 Pythagoras Theorem

7. Coordinate Geometry

7.1 Introduction

7.2 Distance Formula

7.3 Section Formula

7.4 Area of a Triangle

8. Introduction to Trigonometry

8.1 Introduction

8.2 Trigonometric Ratios

8.3 Trigonometric Ratios of Some Specific Angles

8.4 Trigonometric Ratios of Complementary Angles

8.5 Trigonometric Identities

9. Some Applications of Trigonometry

9.1 Introduction

9.2 Heights and Distances

10. Circles

10.1 Introduction

10.2 Tangent to a Circle

10.3 Number of Tangents from a Point on a Circle

11. Constructions

11.1 Introduction

11.2 Division of a Line Segment

11.3 Construction of Tangents to a Circle

12. Areas Related to Circles

12.1 Introduction

12.2 Perimeter and Area of a Circle — A Review

12.3 Areas of Sector and Segment of a Circle

12.4 Areas of Combinations of Plane Figures

13. Surface Areas and Volumes

13.1 Introduction

13.2 Surface Area of a Combination of Solids

13.3 Volume of a Combination of Solids

13.4 Conversion of Solid from One Shape to Another

13.5 Frustum of a Cone

14. Statistics

14.1 Introduction

14.2 Mean of Grouped Data

14.3 Mode of Grouped Data

14.4 Median of Grouped Data

14.5 Graphical Representation of Cumulative Frequency Distribution

15. Probability

15.1 Introduction 15.2 Probability — A Theoretical Approach