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The area of the parallelogram formed by ...

The area of the parallelogram formed by the tangents at the points whose eccentric angles are `theta, theta +(pi)/(2), theta +pi, theta +(3pi)/(2)` on the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2)) =1` is

A

A. ab

B

B. 4ab

C

C. 3ab

D

D. 2ab

Text Solution

Verified by Experts

The correct Answer is:
D
Put `theta = 0^(@)`, we get rectangle formed by tangents at the extremities of major and minor axis.
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