Two paricles A and B start simultaneously from the same point and move in a horizontal plane. A has an initial velocity `u_(1)` due east and acceleration `a_(1)` due north. B has an intial velocity `u_(2)` due north and acceleration `a_(2)` due east.

Options

A. Their paths must intersect at some point
B. They must collide at some point
C. They will collide only if `a_(1)u_(1) = a_(2)u_(2)`
D. If `u_(1) gt u_(2)` and `a_(1) lt a_(2)`, the particle will have the same speed at some point of time

Answer

A, C, D