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Find the equation of the hyperbola whose...

Find the equation of the hyperbola whose eccentricity is `sqrt(2)` and the distance between the foci is 16, taking transverse and conjugate axes of the hyperbola as `x and y-axes` respectively.

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(i) Find the equation of hyperbola whose eccentricity is sqrt((13)/(12)) and the distance between foci is 26. (ii) The foci of a hyperbola coincide of the ellipse 9x^(2)+25y^(2)=225 . If the eccentricity of the hyperbola is 2, then find its equation.