Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Evening shift · Q3972

JEE Main 202125 Feb, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

A hyperbola passes through the foci of the ellipse

{{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1

and its transverse and conjugate axes coincide with major and minor axes of the ellipse, respectively. If the product of their eccentricities is one, then the equation of the hyperbola is :

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Evening shift · Q3972

JEE Main 202125 Feb, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

A hyperbola passes through the foci of the ellipse

{{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1

and its transverse and conjugate axes coincide with major and minor axes of the ellipse, respectively. If the product of their eccentricities is one, then the equation of the hyperbola is :

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