JEE Advanced Mathematics question
If a hyperbola passes through the focus of the ellipse and its transverse and conjugate axes coincide with the major and minor axes of the ellipse, the product of their eccentricities being then
Answer: (A),(C)
Solution
Ellipse: , foci .
Hyperbola: (axes along the ellipse's axes), eccentricity .
It passes through : $ =
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