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Sets and Relations question

2022 · 28 Jul · Shift 1 · Q29

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2022 · 28 Jul · Shift 1 · Q29

Sets and Relations question

2022 · 28 Jul · Shift 1 · Q29

JEE MainMathematicsSets and RelationsMCQ+4 / −1

For

\alpha \in \mathbf{N}

, consider a relation

\mathrm{R}

on

\mathbf{N}

given by

\mathrm{R}=\{(x, y): 3 x+\alpha y

is a multiple of 7

\}

. The relation

R

is an equivalence relation if and only if :

A
$\alpha=14$
B
$\alpha$ is a multiple of 4
C
4 is the remainder when $\alpha$ is divided by 10
D
4 is the remainder when $\alpha$ is divided by 7

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