NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 24

EASY

11th CBSE

IMPORTANT

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Let $n (A) = m$ , and $n (B) = n$ . Then the total number of non-empty relations that can be defined from $A$ to $B$ is

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Important Questions on Relations and Functions

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 25

If

[x]^{2} - 5 [x] + 6 = 0

, where

[.]

denote the greatest integer function, then

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11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 26

Range of

f (x) =

\frac{1}{1 - 2 \cos x}

is

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11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 27

Let

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

, then

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11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 28

Domain of

\sqrt{(a^{2} - x^{2})} (a > 0)

is

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11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 29

If

f (x) = a x + b

, where

a

and

b

are integers,

f (- 1) = - 5

and

f (3) = 3

, then

a

and

b

are equal to

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 30

The domain of the function

f

defined by

f (x) = \sqrt{4 - x} + \frac{1}{\sqrt{x^{2} - 1}}

is equal to

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IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 31

The domain and range of the real function

f

defined by

f (x) = (\frac{4 - x}{x - 4})

is given by

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 2 - Relations and Functions>EXERCISE>Q 32

The domain and range of real function

f

defined by

f (x) = \sqrt{x - 1}

is given by