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Let `A(alpha,0)` and `B(0,beta)` be the points on the line `5x+7y=50` .Let the point divide the line segment "AB" internally in the ratio "7:3" .Let `3x-25=0` be a directrix of the ellipse `E:(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and the corresponding focus be "S" .If from "S", the perpendicular on the "x" -axis passes through "P" ,then the length of the latus rectum of "E" is equal to,

A

`25/9`

B

`32/9`

C

`32/5`

D

`25/3`

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