JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Understanding +4 | -1

Let

\mathrm{A}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}\}

and

\mathrm{B}=\{1,2\}

. Consider a relation

\mathrm{R}

defined from set

\mathrm{A}

to set

\mathrm{B}

. Then

\mathrm{R}

can equal to set

View answer and explanation

Correct option: C

\mathrm{A} \times \mathrm{B}

Option C (

\mathrm{A} \times \mathrm{B}

) is correct because a relation from set A to set B is a subset of the Cartesian product A × B.

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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