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[" Area of the greatest "],[" rectangle that can be "],[" inscribed in the ellipse "],[(x^(2))/(a^(2))+(y^(2))/(b^(2))=1]

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Area ( in square unit) of the greatest rectangle that can be inscribed in the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2))=1 is -

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The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is