Let P be a variable point on the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}} – McqOptions

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1.	Let P be a variable point on the ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] with foci \[{{F}_{1}}\] and \[{{F}_{2}}\]. If A is the area of the triangle \[P{{F}_{1}}{{F}_{2}}\], then maximum value of A is [IIT 1994; Kerala (Engg.) 2005]
A.	ab
B.	abe
C.	\[\frac{e}{ab}\]
D.	\[\frac{ab}{e}\]
Answer» C. \[\frac{e}{ab}\]

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