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JEE Advanced Mathematics question

MathematicsHyperbolaJEE Advanced

Let the eccentricity of the hyperbola be reciprocal to that of the ellipse . If the hyperbola passes through a focus of the ellipse, then

Answer: (B),(D)

Solution

Ellipse: , so ; foci .

Hyperbola: . It passes through (or ): .

= - 1) = 3(Missing argument for \frac\frac43 - 1

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Question ID VK-110800