# A geometry problem by ashwin korade

Geometry Level 3

if the eccentricity of the hyperbola $$x^2-y^2 \sec^2 \alpha = 5$$ is $$\sqrt{3}$$ times eccentricity of the ellipse $$x^2 \sec^2 \alpha + y^2 = 25$$, then find the value of $$\alpha$$.

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