Let \( 0\theta\frac{\pi}{2} \). If the eccentricity of the hyperbol...

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Let \( 0\theta\frac{\pi}{2} \). If the eccentricity of the hyperbola
\( \mathrm{P} \) \( \frac{x^{2}}{\cos ^{2} \theta}-\frac{y^{2}}{\sin ^{2} \theta}=1 \) is greater than 2 , then the length of its latus rectum lies in the interval:
(1) \( (3, \infty) \)
(2) \( \left(\frac{3}{2}, 2\right] \)
(3) \( (2,3] \)
(4) \( \left(1, \frac{3}{2}\right] \)
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