Course Content

Real Number-1

Introduction

1.2 The Fundamental Theorem of Arithmetic

1.3 Revisiting Irrational Numbers

1.4 Summary

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 Summary

Pair of Linear Equations in Two Variables

3.1 Introduction

3.2 Graphical Method of Solution of a Pair of Linear Equations

3.3 Algebraic Methods of Solving a Pair of Linear Equations 3.3.1 Substitution Method 3.3.2 Elimination Method

3.4 Summary

Quadratic Equations

4.1 Introduction

4.2 Quadratic Equations

4.3 Solution of a Quadratic Equation by Factorisation

4.4 Nature of Roots

4.5 Summary

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

5.5 Summary

Triangles

6.1 Introduction

6.2 Similar Figures

6.3 Similarity of Triangles

6.4 Criteria for Similarity of Triangles

6.5 Summary

Coordinate Geometry

7.1 Introduction

7.2 Distance Formula

7.3 Section Formula

7.4 Summary

Introduction to Trigonometry

8.1 Introduction

8.2 Trigonometric Ratios

8.3 Trigonometric Ratios of Some Specific Angles

8.4 Trigonometric Identities

8.5 Summary

Some Applications of Trigonometry

9.1 Heights and Distance

9.2 Summary

Circles

10.1 Introduction

10.2 Tangent to a Circle

10.3 Number of Tangents from a Point on a Circle

10.4 Summary

Areas Related to Circles

11.1 Areas of Sector and Segment of a Circle

11.2 Summary

Surface Areas and Volumes

12.1 Introduction

12.2 Surface Area of a Combination of Solids

12.3 Volume of a Combination of Solids

12.4 Summary

Statistics

13.1 Introduction

13.2 Mean of Grouped Data

13.3 Mode of Grouped Data

13.4 Median of Grouped Data

13.5 Summary

Probability

14.1 Probability — A Theoretical Approach

14.2 Summary

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