Let P be a variable point on the elipse ...

Let P be a variable point on the elipse `(x^(2))/(a ^(2)) +(y ^(2))/(b ^(2)) =1` with foci `F_(1) and F_(2).` If A is the area of the triangle `PF _(1) F_(2),` then maximum value of A is

A

ab

B

abe

C

`(e)/(ab)`

D

`(ab)/(e)`

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The correct Answer is:

B

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