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Define a relation R on the interval ⎟ ⎠ ⎞ ⎢ ⎣ ⎡ π 2 , 0 by x R y if and only if sec 2 x – tan 2 y = 1. Then R is :

1. an equivalence relation
2. both reflexive and tr
3. both reflexive and symmetric but not tr
4. reflexive but neither symmetric not tr

Correct answer: an equivalence relation

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