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CHAPTER 1
RELATIONS AND FUNCTIONS
IMPORTANT POINTS TO REMEMBER
Relation R from a set A to a set B is subset of A B.
A B = cfw_(a, b) : a A, b B.
If n(A) = r, n (B) = s from set A to set B then n (A B) = rs
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CHAPTER 6
APPLICATIONS OF DERIVATIVES
POINTS TO REMEMBER
Rate of Change : Let y = f(x) be a function then the rate of change of
y with respect to x is given by
dy
f x where a quantity y varies with
dx
ano
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CHAPTER 3 & 4
MATRICES AND DETERMINANTS
POINTS TO REMEMBER
Matrix : A matrix is an ordered rectangular array of numbers or functions.
The numbers or functions are called the elements of the matrix.
Order o
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CHAPTER 5
CONTINUITY AND DIFFERENTIATION
POINTS TO REMEMBER
A function f(x) is said to be continuous at x = c iff lim f x f c
x c
i.e., lim f x lim f x f c
x c
x c
f(x) is continuous in (a, b) iff it is
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CHAPTER 7
INTEGRALS
POINTS TO REMEMBER
Integration is the reverse process of Differentiation.
Let
These integrals are called indefinite integrals and c is called constant of
integration.
From geometrical p
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CHAPTER 2
INVERSE TRIGONOMETRIC FUNCTIONS
IMPORTANT POINTS
sin1 x, cos1 x, . etc., are angles.
If sin x and , then = sin1x etc.
2 2
Function
Domain
Range
(Principal Value Branch)
sin1x
[1, 1]
2 , 2