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If the eccentricity of the hyperbola \( x^{2}-y^{2} \sec ^{2} \alpha=5 \)
\( \mathrm{P}^{12} \) is \( \sqrt{3} \) times the eccentricity of the ellipse

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