The correct options are
B the particle is speeding up, if the directions of both angular velocity and angular acceleration are shown in the same directions
C the particle is slowing down, if both angular velocity and angular acceleration are shown in the opposite directions
if angular acceleration is positive, the rotation of the particle is speeding up, and if the angular acceleration is negative,it is deceleration and hence the particle is slowing down
Thus, options (b) and (c) are correct