JEE Math Practice Question

Let $$\theta$$ be the acute angle between the tangents to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 1} = 1$$ and the circle $${x^2} + {y^2} = 3$$ at their point of intersection in the first quadrant. Then tan$$\theta$$ is equal to :

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