If \( \mathrm{P}(\sqrt{2} \sec \theta, \sqrt{2} \tan \theta) \) is a point on the hyperbola whos...

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If \( \mathrm{P}(\sqrt{2} \sec \theta, \sqrt{2} \tan \theta) \) is a point on the hyperbola whose distance from the origin is \( \sqrt{6} \) where \( \mathrm{P} \) is in the first quadrant then \( \theta= \)
\( \mathrm{P} \)
(A) \( \frac{\pi}{4} \)
(B) \( \frac{\pi}{3} \)
(C) \( \frac{\pi}{6} \)
(D) \( \frac{\pi}{15} \)
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