Area of the greatest rectangle that can be inscribed in the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] is [AIEEE 2005]

Area of the greatest rectangle that can be inscribed in the ellipse \[

1.	Area of the greatest rectangle that can be inscribed in the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] is [AIEEE 2005]
A.	\[\sqrt{ab}\]
B.	\[\frac{a}{b}\]
C.	\[2ab\]
D.	\[ab\]
Answer» D. \[ab\]

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Area of the greatest rectangle that can be inscribed in the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] is [AIEEE 2005]

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