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Let S and S'' be the foci of the ellipse...

Let S and S'' be the foci of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` whose eccentricity is i.e. P is a variable point on the ellipse. Consider the locus of the incenter of `DeltaPSS''` The maximum area of recatangle inscribed in the locus is

A

`(2abe^(2))/(1+e)`

B

`(2abe)/(1-e)`

C

`(2abe)/(1+e)`

D

none of these

Text Solution

AI Generated Solution

To solve the problem step by step, we will analyze the given ellipse and derive the required expressions. ### Step 1: Understand the ellipse and its parameters The equation of the ellipse is given by: \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \] ...
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