If \( \theta \) is the angle between the asymptotes of the hyperbola \( \frac{x^{2}}{a^{2}}-\fra....

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If \( \theta \) is the angle between the asymptotes of the
\( \mathrm{P} \)
hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) with eccentricity \( e \), then \( \sec \frac{\theta}{2} \) can be
(1) \( e \)
(2) \( e / 2 \)
(3) \( e / 3 \)
(4) \( \frac{e}{\sqrt{e^{2}-1}} \)


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