The correct options are
A the velocity of both the particles may be the same after the collision
B the kinetic energy is not conserved
C the linear momentum of the system is conserved
D the velocity of separation will be less than velocity of approach
In case of perfectly inelastic collision,
Final velocities of both the body is same
But, when the collision is not perfectly inelastic the velocities differ.
Thus, the final velocity of the bodies may or may not be same.
Also, there is a loss of kinetic energy during an inelastic collision.
thus, kinetic energy is not conserved and velocity of separation will be less than velocity of approach.
A collision, let it be elastic or inelastic has always its momentum conserved and is given by,
m1u1+m2u2=m1v1+m2v2
Thus, linear momentum of the system is conserved