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JEE Main 2017 Mathematics question

MathematicsEllipseJEE Main 2017

Consider an ellipse, whose center is at the origin and its major axis is along the -axis. If its eccentricity is and the distance between its foci is , then the area (in sq. units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is:

Answer: (3)

Solution

From the distance between the foci, , so . The eccentricity gives

e = Missing argument for \frac\frac ca = Missing argument for \frac\frac35 a = = = 5.

Then

= - = 25 - 9 = 16 b = 4,

so the ellipse is . Its four vertices — the

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Question ID VK-115834