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MCQMediumJEE Main 2023 · 31 January, Shift 1Relations

Mathematics Question from JEE Main 2023 · 31 January, Shift 1

Let RR be a relation on N×N\mathbb{N} \times \mathbb{N} defined by

(a,b) R (c,d)if and only ifad(b−c)=bc(a−d).(a, b) \, R \, (c, d) \quad \text{if and only if} \quad ad(b - c) = bc(a - d).

Then RR is:

  • A

    Symmetric but neither reflexive nor transitive

  • B

    Transitive but neither reflexive nor symmetric

  • C

    Reflexive and symmetric but not transitive

  • D

    Symmetric and transitive but not reflexive

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