Sets, Relations and Functions (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 13 - 14 of 14

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Question number: 13

» Sets, Relations and Functions » Domain, Range

Appeared in Year: 2015

MCQ▾

Question

Let f(x)=αx22+1x ; where, α is a real constant. The smallest α for which f(x)0 for all x>0 is –

Choices

Choice (4) Response

a.

2333

b.

2433

c.

2233

d.

2533

Question number: 14

» 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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