The area of the rectangle formed by the ...

The area of the rectangle formed by the perpendiculars from the centre of the ellipse `(x^(2))/(9)+(y^(2))/(4)=1` to the tangent and normal at the point whose eccentric angle is `(pi)/(4)`, is :

A

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

B

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

C

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

D

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

Verified by Experts

The correct Answer is:

A

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