class 12 Math Co-ordinate Geometry Hyperbola

If $a$ hyperbola passes through the foci of the ellipse $25x_{2} +16y_{2} =1$ . Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is $9x_{2} −16y_{2} =1$b. the equation of hyperbola is $9x_{2} −25y_{2} =1$c. focus of hyperbola is (5, 0) d. focus of hyperbola is $(53 ,0)$

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