Sets, Relations and Functions-Functions and Composition (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 7 - 12 of 12

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Question number: 7

» 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:

Equation

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

0

c.

Equation

d.

1

Question number: 8

» 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: 9

» 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: 10

» 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: 11

» 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: 12

» 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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