JEE MATHEMATICS MCQ: RELATIONS

1 Easy

1 of 1

Application +4 | -1

n\left( A \right)

denotes the number of elements in the set

A

and if

n\left( A \right) = 4,\;n\left( B \right) = 5

and

n\left( {A \cap B} \right) = 3

, then

n\left[ {\left( {A \times B} \right) \cap \left( {B \times A} \right)} \right]

is equal to

View answer and explanation

Correct option: B

Option B (9) is correct because it is the square of the number of elements in the intersection of A and B.

More Questions from RELATIONS

Practice All Chapter MCQs →

\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