Sets, Relations and Functions (BITSAT Mathematics): Questions 14 - 19 of 27

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Question number: 14

» Sets, Relations and Functions » Domain, Range

MCQ▾

Question

Domain of the function sin1(2x+1) is

Choices

Choice (4) Response

a.

[1, 1]

b.

[1, 0]

c.

[0, 1]

d.

None of the above

Question number: 15

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)=log(1+x1x) , then f(2x1+x2) is equal to –

Choices

Choice (4) Response

a.

f(x)

b.

2f(x)

c.

4f(x)

d.

None of the above

Question number: 16

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

The number of bijective function from set A to itself when A contains 106 elements is –

Choices

Choice (4) Response

a.

106!

b.

2106

c.

(106)2

d.

106

Question number: 17

» Sets, Relations and Functions » Domain, Range

MCQ▾

Question

Let S(0,π) denotes set of values of x .

If 81+|cosx|+cos2x+|cos3x|+=43 , then S=

Choices

Choice (4) Response

a.

(π3,2π3)

b.

(π3,2π3)

c.

(π3,2π3)

d.

π3

Question number: 18

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)=|x1| , then –

Choices

Choice (4) Response

a.

f(x) is not derivable at x=1

b.

f(x2)=(f(x))2

c.

f(x+y)=f(x)+f(y)

d.

f(|x|)=|f(x)|

Question number: 19

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x+2y,x2y)=xy , then f(x,y) equal –

Choices

Choice (4) Response

a.

x2+y22

b.

x2y24

c.

x2y22

d.

x2y28

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