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Sets and Relations question

2025 · 28 Jan · Shift 1 · Q29

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JEE Main
Mathematics
Sets and Relations
2025 · 28 Jan · Shift 1 · Q29

Sets and Relations question

2025 · 28 Jan · Shift 1 · Q29

JEE MainMathematicsSets and RelationsMCQ+4 / −1

The relation

R=\{(x, y): x, y \in \mathbb{Z}

and

x+y

is even

\}

is:

A
reflexive and transitive but not symmetric
B
reflexive and symmetric but not transitive
C
an equivalence relation
D
symmetric and transitive but not reflexive

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