The foci of a hyperbola coincide with the foci of the ellipse

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The foci of a hyperbola coincide with the foci of the ellipse x225+y29=1\frac{x^2}{25} + \frac{y^2}{9} = 1 . Find the equation of the hyperbola if its eccentricity is 2.

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