Sets, Relations and Functions (KVPY Stream-SA (Class 11) Math): Questions 17 - 21 of 21

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Question number: 17

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

Let f (x) be a quadratic polynomial with f(5)=30 and f(5)=10 . Then the coefficient of x in f (x) is,

Choices

Choice (4) Response
a.

2

b.

3

c.

1

d.

4

Question number: 18

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

Let f (x) be a quadratic polynomial with f(7)=72 and f(7)=30 . Then the coefficient of x in f (x) is,

Choices

Choice (4) Response
a.

4

b.

2

c.

3

d.

1

Question number: 19

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If (x)=log2x2+x ; than value of f(4x2+x22) is –

Choices

Choice (4) Response
a.

f(x1)

b.

2f(x)

c.

f(x)

d.

f(x2)

Question number: 20

» Sets, Relations and Functions » Types of Relations

MCQ▾

Question

Which of the following statements are true –

(i) If A={x:x2=9,xN},B={2}, then AB.

(ii) If A={2, 4,6, 8,8},B={6, 4,2, 8}, then A=B.

(iii) If A={x:x25x+11=0,xR},B=ϕ, then A=B.

(iv) If A={x: x <2,xZ},B={1, 1}, then A=B.

Select the correct option from given above:

Choices

Choice (4) Response
a.

(i) & (ii) are correct

b.

(i), (ii) & (iii) are correct

c.

(ii) & (iii) are correct

d.

(i) & (iv) are correct

Question number: 21

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

How many positive real numbers x satisfy the equation,

x37 x +6=0

Choices

Choice (4) Response
a.

2

b.

1

c.

4

d.

6

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