Western Riverside County/City Animal Shelter Spay/Neuter Clinic
Patient History and Surgical Consent Form
Client Name:
Cat
Dog
Pet Name:
Other
Age:
Sex:
Breed:
Please check any symptoms your pet has b
tt
o N
be C
re ER
pu T
bl
is
he
d
MATHEMATICS
EXEMPLAR PROBLEMS
no
Class XI
FOREWORD
tt
o N
be C
re ER
pu T
bl
is
he
d
The National Curriculum Framework (NCF) 2005 initiated a new phase of developme
Chapter
5
tt
o N
be C
re ER
pu T
bl
is
he
d
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
7
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
Chapter
16
he
PROBABILITY
Where a mathematical reasoning can be had, it is as great a folly to
16.1 Introduction
bl
is
make use of any other, as to grope for a thing in the dark, when
you have a candl
Chapter
13
he
LIMITS AND DERIVATIVES
bl
13.1 Introduction
is
With the Calculus as a key, Mathematics can be successfully applied to the
explanation of the course of Nature WHITEHEAD
no N
C
tt E
o R
b
Chapter
10
tt
o N
be C
re ER
pu T
bl
is
he
d
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
9
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
no N
C
tt E
o R
be T
re
pu
bl
is
he
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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.
tt
o N
be C
re ER
pu T
bl
is
he
d
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
tt
o N
be C
re ER
pu T
bl
is
he
d
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
SUPPLEMENTARY MATERIAL
613
he
d
SUPPLEMENTARY MATERIAL
( px + q )
a x 2 + bx + c dx .
We choose constants A and B such that
d
2
A
( a x + bx + c ) + B
dx
no N
C
tt E
o R
be T
re
pu
px + q =
bl
7.6.3
Chapter
14
he
MATHEMATICAL REASONING
is
There are few things which we know which are not capable of
no N
C
tt E
o R
be T
re
pu
bl
mathematical reasoning and when these can not, it is a sign that our
k
MATHEMATICS
PART II
Textbook for Class XII
MATHEMATICS
PART II
Textbook for Class XII
Foreword
The National Curriculum Framework, 2005, recommends that childrens life at school
must be linked to their
Chapter
4
he
DETERMINANTS
4.1 Introduction
no N
C
tt E
o R
be T
re
pu
a1 x + b1 y = c 1
a2 x + b2 y = c 2
bl
In the previous chapter, we have studied about matrices
and algebra of matrices. We have al
tt
o N
be C
re ER
pu T
bl
is
he
d
CHAPTER 12
SURFACE AREAS AND VOLUMES
(A) Main Concepts and Results
The surface area of an object formed by combining any two of the basic solids,
namely, cuboid, con
tt
o N
be C
re ER
pu T
bl
is
he
d
CHAPTER 5
ARITHMETIC PROGRESSIONS
(A) Main Concepts and Results
An arithmetic progression (AP) is a list of numbers in which each term is
obtained by adding a fixed
APPLICATION OF INTEGRALS
Chapter
359
8
APPLICATION OF INTEGRALS
v One should study Mathematics because it is only through Mathematics that
nature can be conceived in harmonious form. BIRKHOFF v
8.1 In
Chapter
13
tt
o N
be C
re ER
pu T
bl
is
he
d
LIMITS AND DERIVATIVES
13.1 Overview
13.1.1 Limits of a function
Let f be a function defined in a domain which we take to be an interval, say, I. We shall