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Jee Main 2025 — Medium JEE math MCQ

The relation \( R = \{ (x, y) : x, y \in \mathbb{Z} \text{ and } x + y \text{ is even} \} \) is
  1. A. reflexive and symmetric but not transitive
  2. B. an equivalence relation
  3. C. symmetric and transitive but not reflexive
  4. D. reflexive and transitive but not symmetric

Solution

The correct option is **B**. (B. an equivalence relation)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
The relation R={(x,y):x,y∈Z and x+y is even} R = \{ (x, y) : x, y \in \mathbb{Z} \text{ and } x + y \text{ is even} \} is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep