MCQEasyJEE Main 2025 · 29 January, Shift 1Relations

Mathematics Question from JEE Main 2025 · 29 January, Shift 1

Define a relation RR on the interval [0,π2]\left[ 0, \frac{\pi}{2} \right] by xRyx \, R \, y if and only if sec2xtan2y=1\sec^2 x - \tan^2 y = 1. Then RR is:

  • A

    both reflexive and transitive but not symmetric

  • B

    both reflexive and symmetric but not transitive

  • C

    reflexive but neither symmetric nor transitive

  • D

    an equivalence relation

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