# Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 11 - 14 of 14

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## Question number: 11

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

MCQ▾

### Question

Let and . Which of the following statements are true?

(i) Domain of = Domain of

(ii) Domain of = Domain of

(iii) Domain of = Domain of

(iv) Domain of = Domain of

### Choices

Choice (4) Response

a.

Only (i) and (iv)

b.

Only (i)

c.

Only (iii) and (v)

d.

Only (i) and (ii)

## Question number: 12

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

MCQ▾

### Question

For given two functions,

and .

Which of the following statement are true?

Domain of Domain of

Domain of Domain of

Domain of Domain of

Domain of Domain of (Model Paper)

### Choices

Choice (4) Response

a.

Only (i) and (iv)

b.

Only (i)

c.

Only (i) and (ii)

d.

Only (iii) and (iv)

## Question number: 13

» Sets, Relations and Functions » Domain, Range

Appeared in Year: 2015

MCQ▾

### Question

Let ; where, is a real constant. The smallest for which for all is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 14

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2016

MCQ▾

### Question

Let . The number of elements in is –

### Choices

Choice (4) Response

a.

0

b.

Not finite

c.

4

d.

2

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