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JEE Advanced Mathematics question

MathematicsEllipseJEE Advanced

The point P on the ellipse is such that the area of the where are foci. Then P has the coordinates

Answer: (A),(D)

Solution

Intended ellipse: , i.e. , with , , , so (on the -axis).

For , the height of over the base is :

Missing argument for \frac\frac12·2Missing argument for \sqrt\sqrt5·|y|=\ ⇒\ |y|=Missing argument for \sqrt\sqrt2 .

Then $

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Question ID VK-109109