JEE Math Practice Question

For some $$\theta \in \left( {0,{\pi \over 2}} \right)$$, if the eccentricity of the hyperbola, x2–y2sec2$$\theta $$ = 10 is $$\sqrt 5 $$ times the eccentricity of the ellipse, x2sec2$$\theta $$ + y2 = 5, then the length of the latus rectum of the ellipse, is :

1. A.$$\sqrt {30} $$
2. B.$$2\sqrt 6 $$
3. C.$${{4\sqrt 5 } \over 3}$$
4. D.$${{2\sqrt 5 } \over 3}$$