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Class 12

## Mathematics

CHAPTER 1 KNOWING OUR NUMBERS

1.1 Introduction:
1.2 Irrational Numbers
1.3 Real Numbers and their Decimal Expansions
1.4 Representing Real Numbers on the Number Line
1.6 Laws of Exponents for Real Numbers

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

3.1 Introduction
3.2 Cartesian System
3.3 Plotting a Point in the Plane if its Coordinates are given
3.4 Summary

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

5.1 Introduction
5.2 Euclid’s Definitions, Axioms and Postulates
5.3 Equivalent Versions of Euclid’s Fifth Postulate
5.4 Summary

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

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

8.1 Introduction
8.2 Angle Sum Property of a Quadrilateral
8.4 Properties of a Parallelogram
8.5 Another Condition for a Quadrilateral to be a Parallelogram
8.6 The Mid-point Theorem
8.7 Summary
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
9.5 Summary

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
10.9 Summary

11.1 Introduction
11.2 Basic Constructions
11.3 Some Constructions of Triangles
11.4 Summary

12.1 Introduction
12.2 Area of a Triangle – by Heron’s Formula
12.3 Application of Heron’s Formula in finding
12.4 Summary

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
10.10 Summary