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Sets and Relations question

2023 · 31 Jan · Shift 1 · Q30

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2023 · 31 Jan · Shift 1 · Q30

Sets and Relations question

2023 · 31 Jan · Shift 1 · Q30

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

\mathrm{R}

be a relation on

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

defined by

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

if and only if

a d(b-c)=b c(a-d)

. Then

\mathrm{R}

is

A
symmetric and transitive but not reflexive
B
reflexive and symmetric but not transitive
C
transitive but neither reflexive nor symmetric
D
symmetric but neither reflexive nor transitive

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