JEE Math Practice Question

Let e1 and e2 be the eccentricities of the ellipse, $${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$$(b < 5) and the hyperbola, $${{{x^2}} \over {16}} - {{{y^2}} \over {{b^2}}} = 1$$ respectively satisfying e1e2 = 1. If $$\alpha $$ and $$\beta $$ are the distances between the foci of the ellipse and the foci of the hyperbola respectively, then the ordered pair ($$\alpha $$, $$\beta $$) is equal to :

1. A.(8, 10)
2. B.(8, 12)
3. C.$$\left( {{{24} \over 5},10} \right)$$
4. D.$$\left( {{{20} \over 3},12} \right)$$