JEE Main 2015 Mathematics question
An ellipse passes through the foci of the hyperbola, and its major and minor axes lie along the transverse and conjugate axes of the hyperbola respectively. If the product of eccentricities of the two conics is , then which of the following points does not lie on the ellipse?
Answer: (2)
Solution
Write the hyperbola as , so , and . Its foci are . The ellipse passes through these and has its major axis along the -axis, so its semi-major axis is . From $ =
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