Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.1>Q 6

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If $A$ is the set of even natural numbers less than $8$ and $B$ is the set of prime numbers less than $7$ , then the number of relations from $A$ to $B$ is,

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Important Questions on Relations and Functions

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Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.1>Q 7

Let

A = \{1, 2, 3, 4, 5\}; B = \{2, 3, 6, 7\},

Then the number of elements in

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

is

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Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.1>Q 8

Let

X = \{1, 2, 3, 4, 5\}

and

Y = \{1, 3, 5, 7, 9\}

. Which of the following is relations from

X

to

Y

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Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.1>Q 9

If

P = \{2, 3\}

, then

P \times P

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 10

If

|x - 3| + |x + 5| = 8

then the interval satisfying the value of

x

is

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Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 11

The range of

f (x) = sgn (2^{x}) + sgn (|x - 5|)

is

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Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 12

For any real number

x

, we have

\sqrt{x^{2}}

equals

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Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 13

If

x < 5

then

\sqrt{x^{2} - 10 x + 25} + x + 7

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 14

||x - 2| > - 3| > 1

, then

x

belongs to