JEE MATHEMATICS MCQ: RELATIONS

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A relation on the set

A=\{x:|x| < 3, x \in Z\}

, where

Z

is the set of integers is defined by

R=\{(x, y): y=|x|, x \neq-1\}

. Then the number of elements in the power set of

R

is:

View answer and explanation

Correct option: B

Option B (16) is correct because the relation R has 4 elements, and the number of elements in the power set of a set with n elements is

2^n

, so

2^4 = 16

More Questions from RELATIONS

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\mathrm{Z}

R

\mathrm{N}

\mathrm{R}

\mathrm{N} \times \mathrm{N}

(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})

a d(b+c)=b c(a+d)

\mathrm{R}

W

R

R=\{(x, y) \in W \times W \mid

x

y

\}

S

R = \{ \left( {a,\;b} \right):1 + ab > 0\}

S

X

R

X

A

B

R

R

N

R = \left\{ {\left( {x,\;y} \right):4x + 3y = 20} \right\}

R