Sets, Relations and Functions-Functions and Composition (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 6 - 7 of 7

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Question number: 6

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

MCQ▾

Question

For given two functions,

P(x)=sinx and Q(x)=82xx2 .

Which of the following statement are true?

(i) Domain of Q((P(x))2)= Domain of Q(P(x))

(ii) Domain of P((Q(x))3)= Domain of Q(P(x))

(iii) Domain of Q(P(x))= Domain of Q(P(x))

(iv) Domain of Q(P(x))+P(Q(x))= Domain of P(Q(x)) (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: 7

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2016

MCQ▾

Question

Let X={xR:cos(sinx)=sin(cosx)} . The number of elements in X is –

Choices

Choice (4) Response

a.

0

b.

Not finite

c.

4

d.

2

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