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Let e(1) and e(2) be the ecentriciti...

Let `e_(1)` and `e_(2)` be the ecentricities of the ellispe `(x^(2))/(25) + (y^(2))/(b^(2)) = 1 ( b lt 5)` and the hyperbola , `(x^(2))/(16) - (y^(2))/(b^(2))` = 1 respecitvely staifying `e_(1) e_(2)`= 1. If `alpha` and `beta` are the distance between the foci of the ellispse and the foci of the hyperbola resectively , then the ordered pair `(alpha , beta)` is equal to :

A

`((20)/(3) , 12)`

B

`(8,10)`

C

`((24)/(5) , 10)`

D

`(8,12)`

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