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A varaibla point P on a given ellipse of...

A varaibla point `P` on a given ellipse of eccentricity `e` is jointed to its foci `S` and `S\'`. Let `I` be the incentre of `DeltaPSS\'` and curve `C\' be the locus of `I`. If `l and l\'` be the lengths of laters recta of the given ellipse and curve `C`, then `l/l\' =` (A) `(1+e)^2/e` (B) `e/(1+e)^2` (C) `e/(1-e)^2` (D) `(1-e)^2/e`

A

`sqrt((e )/(1+e))`

B

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

C

`sqrt((3e)/(1+e))`

D

None of these

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The correct Answer is:
B
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