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MCQMediumJEE Main 2025 · 2 April, Shift 1Relations

Mathematics Question from JEE Main 2025 · 2 April, Shift 1

Let AA be the set of all functions f:Z→Zf: \mathbb{Z} \to \mathbb{Z} and RR be a relation on AA such that R={(f,g):f(0)=g(1) and f(1)=g(0)}R = \{ (f, g) : f(0) = g(1) \text{ and } f(1) = g(0) \} Then RR is:

  • A

    Symmetric and transitive but not reflective

  • B

    Symmetric but neither reflective nor transitive

  • C

    Reflexive but neither symmetric nor transitive

  • D

    Transitive but neither reflexive nor symmetric

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