Chapter
9
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SEQUENCE AND SERIES
9.1 Overview
By a sequence, we mean an arrangement of numbers in a definite order according
to some rule. We denote the terms of a sequ
Chapter
4
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PRINCIPLE OF MATHEMATICAL
INDUCTION
4.1 Overview
Mathematical induction is one of the techniques which can be used to prove variety
of mathematical stateme
Chapter
2
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RELATIONS AND FUNCTIONS
2.1 Overview
This chapter deals with linking pair of elements from two sets and then introduce
relations between the two elements i
Chapter
12
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INTRODUCTION TO THREE
DIMENSIONAL GEOMETRY
12.1 Overview
12.1.1 Coordinate axes and coordinate planes Let XOX, YOY, ZOZ be three
mutually perpendicular li
Chapter
11
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CONIC SECTIONS
11.1 Overview
11.1.1 Sections of a cone Let l be a fixed vertical line and m be another line intersecting
it at a fixed point V and incline
Chapter
8
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BINOMIAL THEOREM
8.1 Overview:
8.1.1 An expression consisting of two terms, connected by + or sign is called a
binomial expression. For example, x + a, 2x
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ANSWERS
1.3 EXERCISE
1. (i) cfw_2
(ii) cfw_0, 1
(iii) cfw_1, p
2. (i) cfw_0, 1, 1
11
(ii)
3
(iii)
3.
cfw_
3, 2, 2, 3
cfw_1, 2, 22, 23, .2 P 1,(2p 1
4. (i) True
6
Chapter
LINEAR INEQUALITIES
v Mathematics is the art of saying many things in many
different ways. MAXWELLv
6.1 Introduction
In earlier classes, we have studied equations in one variable and two var
ANSWERS
EXERCISE 1.1
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1. (i), (iv), (v), (vi), (vii) and (viii) are sets.
2. (i) (ii) (iii)
(vi) (v) (vi)
3. (i) A = cfw_3, 2, 1, 0, 1, 2, 3, 4, 5, 6 (ii) B = cfw
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CHAPTER 1
REAL NUMBERS
(A) Main Concepts and Results
Euclids Division Lemma : Given two positive integers a and b, there exist unique
integers q and r satisfying a =
Chapter
1
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SETS
1.1 Overview
This chapter deals with the concept of a set, operations on sets.Concept of sets will be
useful in studying the relations and functions.
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CHAPTER 8
INTRODUCTION TO TRIGONOMETRY AND ITS APPLICATIONS
(A) Main Concepts and Results
Trigonometric Ratios of the angle A in a triangle ABC right angled at B
are
Chapter
6
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LINEAR INEQUALITIES
6.1 Overview
6.1.1 A statement involving the symbols >, <, , is called an inequality. For
example 5 > 3, x 4, x + y 9.
(i) Inequalities
Chapter
10
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STRAIGHT LINES
10.1 Overview
10.1.1 Slope of a line
If is the angle made by a line with positive direction of x-axis in anticlockwise direction,
then the
Chapter
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LIMITS AND DERIVATIVES
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13.1 Introduction
is
With the Calculus as a key, Mathematics can be successfully applied to the
explanation of the course of Nature WHITEHEAD
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MATHEMATICS
EXEMPLAR PROBLEMS
no
Class XI
FOREWORD
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The National Curriculum Framework (NCF) 2005 initiated a new phase of developme
Chapter
5
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COMPLEX NUMBERS AND
QUADRATIC EQUATIONS
5.1 Overview
We know that the square of a real number is always non-negative e.g. (4)2 = 16 and
( 4)2 = 16. Therefo
Chapter
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PERMUTATIONS AND
COMBINATIONS
7.1 Overview
The study of permutations and combinations is concerned with determining the number
of different ways of arrangi
Chapter
3
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TRIGONOMETRIC FUNCTIONS
3.1 Overview
3.1.1 The word trigonometry is derived from the Greek words trigon and metron
which means measuring the sides of a tri