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JEE Advanced Mathematics question

MathematicsEllipseJEE Advanced

An ellipse intersects the hyperbola orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then the

Answer: (A),(B)

Solution

The hyperbola is rectangular, . So the ellipse has : , i.e. ellipse (taking the major axis along the -axis; the other orientation is ruled out in the check at the end).

Let $(α,

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Question ID VK-110725