Sets, Relations and Functions (KVPY Stream-SA (Class 11) Math): Questions 17 - 22 of 23

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Question number: 17

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 20

» Sets, Relations and Functions » Types of Relations

MCQ▾

Question

Which of the following statements are true –

(i) If Equation then Equation

(ii) If Equation then Equation

(iii) If Equation then Equation

(iv) If Equation then Equation

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,

Equation

Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

6

Question number: 22

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2016

MCQ▾

Question

Let Equation be non – empty subsets of Equation satisfying the following conditions:

(i) the numbers Equation are distinct;

(ii) Equation are pairwise disjoint.

(Here Equation denotes the number of elements in the set Equation . )

Then the maximum possible value of Equation is –

Choices

Choice (4) Response

a.

13

b.

16

c.

15

d.

14

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