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The area of the rectangle formed by the ...

The area of the rectangle formed by the perpendicular from the center of the standard ellipse to the tangent and normal at its point whose eccentric angle is `pi/4`, is

A

`((a^2-b^2)/(a^2+b^2))ab`

B

`((a^2-b^2)/(a^2-b^2))ab`

C

`(1)/(ab)((a^2-b^2)/(a^2+b^2))ab`

D

`(1)/(ab)((a^2+b^2)/(a^2-b^2))ab`

Text Solution

Verified by Experts

The correct Answer is:
A
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