Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 12

EASY

11th CBSE

IMPORTANT

Earn 100

The set $B$ is the range of a constant function. Then, $n (B)$ equals

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Important Questions on Relations and Functions

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11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 13

If

n (A \cap B) = 5

, then

n ((A \times B) \cap B \times A))

is equal to

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 14

If

A = \{a, b, c\}, B = {2, 3}, C = {a, b, c, d}

, then the number of elements in

(A \cup C) \times B

is

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IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 15

The range of the function

f (x) = \frac{x}{1 + x^{2}}

is

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 16

If

f (x - \frac{1}{x}) = x^{2} + \frac{1}{x^{2}}

, then

f (x) =

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 17

The domain of the real function

f (x) = \frac{1}{\sqrt{x^{2} - 64}}

is

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11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 18

The range of the function

f (x) = x - [x]

where

[x]

is the greatest integer less than or equal to

x

is

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 19

If

f : R \to R

be defined by

f (x) = 5 x - | x |

, then

f (2 x) - f (- x) - 10 x

equals

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 2 - Relations and Functions>OBJECTIVE TYPE QUESTIONS>Q 20

A

and

B

are two sets having

4

and

6

elements respectively and having

3

elements in common. The number of relations that can be defined from

A

to

B

equals to