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In a group of 100 persons 75 speak Engli...

In a group of 100 persons 75 speak English and 40 speak Hindi.Each person speaks at least one of the two languages. If the number of persons , who speak only English is `alpha` and the number of persons who speak only Hindi is `beta`, then the eccentricity of the ellipse `25(beta^2 x^2 + alpha ^2y^2)=alpha^2 beta^2` is

A

`(3sqrt(15))/12`

B

`(sqrt(117))/12`

C

`(sqrt(119))/12`

D

`(sqrt(129))/12`

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