JEE MATHEMATICS MCQ: RELATIONS

1 Easy

1 of 1

Understanding +4 | -1

A = \left\{ {1,\;2,\;3} \right\},\;B = \left\{ {a,\;b} \right\}

, then

A \times B

mapped

A

B

View answer and explanation

Correct option: C

\left\{ {\left( {1,\;a} \right),\;\left( {1,\;b} \right),\;\left( {2,\;a} \right),\;\left( {2,\;b} \right),\;\left( {3,\;a} \right),\;\left( {3,\;b} \right)} \right\}

Option C (

\left\{ {\left( {1,\;a} \right),\;\left( {1,\;b} \right),\;\left( {2,\;a} \right),\;\left( {2,\;b} \right),\;\left( {3,\;a} \right),\;\left( {3,\;b} \right)} \right\}

) is correct because it represents the Cartesian product of A and B, where each element of A is paired with each element of 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