Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 7

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10th Tamil Nadu Board

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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

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 8

If

{(a, 8), (6, b)}

represents an identity function, then the value of

a

and

b

are respectively

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 9

Let

A = {1, 2, 3, 4}

and

B = {4, 8, 9, 10} .

A function

f : A \to B

given by

f = {(1, 4), (2, 8), (3, 9), (4, 10)}

is a

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10th Tamil Nadu Board

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Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 10

If

f (x) = 2 x^{2}

and

g (x) = \frac{1}{3 x},

then

f o g

is

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 11

If

f : A \to B

is a bijective function and if

n (B) = 7,

then

n (A)

is equal to

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 12

Let $f$ and $g$ be two functions given by

$f = {(0, 1), (2, 0), (3, - 4), (4, 2), (5, 7)}$

$g = {(0, 2), (1, 0), (2, 4), (- 4, 2), (7, 0)}$ then the range of $f \circ g$ is

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 13

Let

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

then

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 14

If

g = {(1, 1), (2, 3), (3, 5), (4, 7)}

is a function given by

g (x) = α x + β

, then the values of

α

and

β

are

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 1 - Relations and Functions>Exercise 1.6>Q 15

f (x) = (x + 1)^{3} - (x - 1)^{3}

represents a function which is