Minimum area of the triangle by any tangent to the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] with the coordinate axes is [IIT Screening 2005]

\[\frac{{{a}^{2}}+{{b}^{2}}}{2}\]

Minimum area of the triangle by any tangent to the ellipse \[\frac{{{x

1.	Minimum area of the triangle by any tangent to the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] with the coordinate axes is [IIT Screening 2005]
A.	\[\frac{{{a}^{2}}+{{b}^{2}}}{2}\]
B.	\[\frac{{{(a+b)}^{2}}}{2}\]
C.	ab
D.	\[\frac{{{(a-b)}^{2}}}{2}\]
Answer» D. \[\frac{{{(a-b)}^{2}}}{2}\]

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Minimum area of the triangle by any tangent to the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] with the coordinate axes is [IIT Screening 2005]

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