Let \( P \) be the relation defined on the set of all real number s...

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Let \( P \) be the relation defined on the set of all real number such that
\( \mathrm{P} \)
\( P=\left\{(a, b): \sec ^{2} a-\tan ^{2} b=1\right\} \). Then \( P \) is
W
(1) reflexive and symmetric but not transitive
(2) symmetric and transitive but not reflexive
(3) reflexive and transitive but not symmetric
(4) an equivalence relation
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