Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 48

EASY

CUET (UG)

IMPORTANT

Earn 100

Assertion (A) : Function $f : IR \to IR$ given by $f (x) = \sin x$ is not a bijection

Reason (R): A function $f : A \to B$ is said to be bijection if it is one-one and onto.

choose the correct option:

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Important Questions on Relations and Functions

EASY

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IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 49

Consider the function

f (x) = \frac{1}{x + 2}

, then

f (x)

is

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 50

Let

f : R \to R

be defined as

f (x) = x^{4}

.

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 51

Set

A

has

3

elements and set

B

has

4

elements. The number of injections that can be defined from

A

to

B

is:

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 52

Let

A = {1, 2, 3, 4}

. Which of the following functions is a bijection from

A

to

A

?

EASY

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IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 53

Let

A

and

B

be two finite sets having

m

and

n

elements respectively. If

m \leq n

; then the total number of injective functions from

A

to

B

.

EASY

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IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 54

Which of the following functions is even?

EASY

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IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 55

The number of bijective functions from set

A

to itself when

A

contains

106

elements is:

EASY

CUET (UG)

IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 1 - Relations and Functions>Exercise>Q 56

Which of the following function is not one-one?