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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