MCQEasyJEE Main 2025 · 28 January, Shift 1Relations

Mathematics Question from JEE Main 2025 · 28 January, Shift 1

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

  • A

    reflexive and transitive but not symmetric

  • B

    reflexive and symmetric but not transitive

  • C

    symmetric and transitive but not reflexive

  • D

    an equivalence relation

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Relations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions