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Q)
Find the area of the greatest rectangle that can be inscribed in an ellipse $\Large \frac{x^2}{a^2}+\frac{y^2}{b^2}\normalsize = 1.$
(Note: This question has been split into 2 questions) This question appeared in 65-1,65-2 and 65-3 versions of the paper in 2013.
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