JEE Math Practice Question

Let $$0 < \theta < {\pi \over 2}$$. If the eccentricity of the hyperbola $${{{x^2}} \over {{{\cos }^2}\theta }} - {{{y^2}} \over {{{\sin }^2}\theta }}$$ = 1 is greater than 2, then the length of its latus rectum lies in the interval :

1. A.(3, $$\infty $$)
2. B.$$\left( {{3 \over 2},2} \right]$$
3. C.$$\left( {1,{3 \over 2}} \right]$$
4. D.$$\left( {2,3} \right]$$