A ball A (mass $$m_1$$) moving with velocity v experiences an elastic collision with another stationary ball B (mass $$m_2$$). Each ball flies apart symmetrically relative to the initial direction of motion of ball A, at an angle $$\theta$$. Ratio of the masses of balls $$\frac{m_1}{m_2}$$ is

A

$$1 + 2\cos\theta$$

B

$$2\cos 2\theta$$

C

$$1 + 2\cos 2\theta$$

D

$$1 + \cos 2\theta$$