A variable point P on the ellipse of ecc...

A variable point P on the ellipse of eccentricity e is joined to the foci `S` and `S'`. The eccentricity of the locus of incentre of the triangle `PSS'` is (A) `sqrt((2e)/(1+e))` (B) `sqrt(e/(1+e))` (C) `sqrt((1-e)/(1+e))` (D) `e/(2(1+e))`

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