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[" If the eccentricity of the hyperbola "x^(2)-y^(2)sec^(2)alpha=5" is "sqrt(3)" times the eccentricity of the ellipse "x^(2)" sec "^(2)alpha],[+y^(2)=25," then a value of "alpha" is "],[[" (A) "pi/6," (B) "pi/4," (C) "pi/3," (D) "pi/2]]

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