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Class 12-Maxima & Minima-Find the area of the greatest rectangle that be inscribed in an ellipse.

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Class 12-Maxima & Minima-RD SHARMA ,Pg 18.70, Example-45,
Find the area of the greatest rectangle that be inscribed in an ellipse x^2/a^2+y^2/b^2=1 [CBSE 2013]
Find the area of the greatest rectangle that be inscribed in an ellipse x^2/a^2+y^2/b^2=1 [CBSE 2013]
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