If the eccentricity of the hyperbola x2 – y2 sec2 α = 5 is \(\sqrt3\) times the eccentricity of the ellipse x2 sec2 α + y2 = 25, then value of α is

1
\(\frac{\pi}{6}\)
2
\(\frac{\pi}{4}\)
3
\(\frac{\pi}{3}\)
4
\(\frac{\pi}{2}\)

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