JEE Advanced Mathematics question

MathematicsHyperbolaJEE Advanced

A hyperbola, having the transverse axis of length , is confocal with the ellipse . Then its equation is

Answer: (A)

Solution

Ellipse: , so , , , , foci .

Hyperbola with the same foci: . Transverse axis \sin$θ ⇒ a =

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Question ID VK-110634