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JEE Math Practice Question

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

  1. A.both reflexive and symmetric but not transitive
  2. B.both reflexive and transitive but not symmetric
  3. C.reflexive but neither symmetric not transitive
  4. D.an equivalence relation

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