If the eccentricity of the hyperbola \( x^{2}-y^{2} \sec ^{2} \alph...

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If the eccentricity of the hyperbola \( x^{2}-y^{2} \sec ^{2} \alpha=5 \) is
\( \mathrm{P}^{18} \) \( \sqrt{3} \) times the eccentricity of the ellipse

W \( x^{2} \sec ^{2} \alpha+y^{2}=25 \), then the value of \( \alpha \) is
(1) \( \frac{\pi}{6} \)
(2) \( \frac{\pi}{4} \)
(3) \( \frac{\pi}{3} \)
(4) \( \frac{\pi}{2} \)
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