Free Download NCERT Class 9 Maths Textbook for UPSC Exam

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CHAPTER 1. NUMBER SYSTEMS 

1.1 Introduction

1.2 Irrational Numbers

1.3 Real Numbers and their Decimal Expansions

1.4 Representing Real Numbers on the Number Line

1.5 Operations on Real Numbers

1.6 Laws of Exponents for Real Numbers

1.7 Summary

 

CHAPTER 2. POLYNOMIALS  

2.1 Introduction

2.2 Polynomials in One Variable

2.3 Zeroes of a Polynomial

2.4 Remainder Theorem

2.5 Factorisation of Polynomials

2.6 Algebraic Identities

2.7 Summary

 

CHAPTER 3. COORDINATE GEOMETRY

3.1 Introduction

3.2 Cartesian System

3.3 Plotting a Point in the Plane if its Coordinates are given

3.4 Summary

 

CHAPTER 4. LINEAR EQUATIONS IN TWO VARIABLES 

4.1 Introduction

4.2 Linear Equations

4.3 Solution of a Linear Equation

4.4 Graph of a Linear Equation in Two Variables

4.5 Equations of Lines Parallel to x-axis and y-axis

4.6 Summary

 

CHAPTER 5. INTRODUCTION TO EUCLID’S GEOMETRY

5.1 Introduction

5.2 Euclid’s Definitions, Axioms and Postulates

5.3 Equivalent Versions of Euclid’s Fifth Postulate

5.4 Summary

 

CHAPTER 6. LINES AND ANGLES

6.1 Introduction

6.2 Basic Terms and Definitions

6.3 Intersecting Lines and Non-intersecting Lines

6.4 Pairs of Angles

6.5 Parallel Lines and a Transversal

6.6 Lines Parallel to the same Line

6.7 Angle Sum Property of a Triangle

6.8 Summary

 

CHAPTER 7. TRIANGLES 

7.1 Introduction

7.2 Congruence of Triangles

7.3 Criteria for Congruence of Triangles

7.4 Some Properties of a Triangle

7.5 Some More Criteria for Congruence of Triangles

7.6 Inequalities in a Triangle

7.7 Summary

 

CHAPTER 8. QUADRILATERALS 

8.1 Introduction 135

8.2 Angle Sum Property of a Quadrilateral 136

8.3 Types of Quadrilaterals 137

8.4 Properties of a Parallelogram 139

8.5 Another Condition for a Quadrilteral to be a Parallelogram 145

8.6 The Mid-point Theorem 148

8.7 Summary 151

 

CHAPTER 9.  AREAS OF PARALLELOGRAMS AND TRIANGLES

9.1 Introduction

9.2 Figures on the same Base and Between the same Parallels

9.3 Parallelograms on the same Base and between the same Parallels

9.4 Triangles on the same Base and between the same Parallels 160

9.5 Summary

 

CHAPTER 10. CIRCLES

10.1 Introduction

10.2 Circles and its Related Terms : A Review

10.3 Angle Subtended by a Chord at a Point

10.4 Perpendicular from the Centre to a Chord

10.5 Circle through Three Points

10.6 Equal Chords and their Distances from the Centre

10.7 Angle Subtended by an Arc of a Circle

10.8 Cyclic Quadrilaterals

10.9 Summary

 

CHAPTER 11. CONSTRUCTIONS

11.1 Introduction

11.2 Basic Constructions

11.3 Some Constructions of Triangles

11.4 Summary

 

CHAPTER 12. HERON’S FORMULA

12.1 Introduction

12.2 Area of a Triangle – by Heron’s Formula

12.3 Application of Heron’s Formula in finding Areas of Quadrilaterals

12.4 Summary

 

CHAPTER 13. SURFACE AREAS AND VOLUMES

13.1 Introduction

13.2 Surface Area of a Cuboid and a Cube

13.3 Surface Area of a Right Circular Cylinder

13.4 Surface Area of a Right Circular Cone

13.5 Surface Area of a Sphere

13.6 Volume of a Cuboid

13.7 Volume of a Cylinder

13.8 Volume of a Right Circular Cone

13.9 Volume of a Sphere

13.10 Summary

 

CHAPTER 14. STATISTICS

14.1 Introduction

14.2 Collection of Data

14.3 Presentation of Data

14.4 Graphical Representation of Data

14.5 Measures of Central Tendency

14.6 Summary

 

CHAPTER 15. PROBABILITY

15.1 Introduction

15.2 Probability – an Experimental Approach

15.3 Summary

 

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