# Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 15 - 20 of 23

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## Question number: 15

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2014

MCQ▾

### Question

Let R be the set of all real numbers and let f be a function from R to R such that

for all x ∈ R. Then is equal to

### Choices

Choice (4) Response

a.

2

b.

-4

c.

-2

d.

0

## Question number: 16

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2015

MCQ▾

### Question

Two distinct polynomials f (x) and g (x) are defined as follows:

If the equations f (x) = 0 and g (x) = 0 have a common root then the sum of roots of the equation is

### Choices

Choice (4) Response

a.

b.

0

c.

d.

1

## Question number: 17

» Sets, Relations and Functions » Functions and Composition

MCQ▾

### Question

Let f (x) be a quadratic polynomial with and . 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 and . 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 ; than value of is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 20

» Sets, Relations and Functions » Types of Relations

MCQ▾

### Question

Which of the following statements are true –

(i) If then

(ii) If then

(iii) If then

(iv) If then

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

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