Two balls A and B moving in the same direction collide. The mass of B is $$p$$ times that of A. Before the collision the velocity of A was $$q$$ times that of B. After the collision A comes to rest. If $$e$$ be the coefficient of restitution then which of the following conclusion or conclusions is or are correct?

A

$$e = \frac{p + q}{pq - p}$$

B

$$e = \frac{p + q}{pq + p}$$

C

$$p \geq \frac{q}{q - 2}$$

D

$$p \geq 1$$