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The relation \(R={(x,y):x,y\in Z\text{ and }x+y\text{ is even }}\) is: [JEE Main 2025, 28 Jan (Shift 1)]

Q1

The relation \(R={(x,y):x,y\in Z\text{ and }x+y\text{ is even }}\) is:

[JEE Main 2025, 28 Jan (Shift 1)]

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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