Sets, Relations and Functions-Functions and Composition (KVPY Stream-SA (Class 11) Math): Questions 6 - 11 of 11

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Question number: 6

» 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

f(x)+(x+12)f(1x)=1

for all x ∈ R. Then 2f(0)+3f(1) is equal to

Choices

Choice (4) Response

a.

2

b.

-4

c.

-2

d.

0

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:

f(x)=x2+ax+2

g(x)=x2+2x+a

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

Choices

Choice (4) Response

a.

12

b.

0

c.

12

d.

1

Question number: 8

» 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: 9

» 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: 10

» 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: 11

» 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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