JEE Advanced Mathematics question

MathematicsEllipseJEE Advanced

P is a variable point on the ellipse whose foci are and . The maximum area (in unit²) of the (printed as ) is

Answer: (A)

Solution

The ellipse is (take ). Its semi-axes are and , and its eccentricity is , the same as for .

- The foci are , so the base is $ =

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Question ID VK-109081