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MCQMediumJEE Main 2023 · 1 February, Shift 1Relations

Mathematics Question from JEE Main 2023 · 1 February, Shift 1

Let RR be a relation on R\mathbb{R}, given by

R={(a,b):3a−3b+7 is an irrational number}R = \{ (a, b) : 3a - 3b + \sqrt{7} \text{ is an irrational number} \}

Then RR is:

  • A

    Reflexive but neither symmetric nor transitive

  • B

    Reflexive and transitive but not symmetric

  • C

    Reflexive and symmetric but not transitive

  • D

    An equivalence relation

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