Statements :

a) In translatory motion each point of the body experiences the same displacement as any other point as time goes on, so that the motion of any particle represents the motion of the whole body.

b) In rotatory motion, all the particles in the rigid body moves in concentric circles about the axis of rotation.

• motion in which a moving body's points travel uniformly in one direction. We can observe that there is no change in the object's orientation if it is moving in a translatory manner. Motion that is translated is sometimes referred to as translational motion. When a body travels in such a way that every one of its particles moves parallel, it is said to be in a perfect translatory motion.
• The motion of a body about a fixed axis is known as pure rotational motion. Rotational motion occurs when a rigid body is moved in a way that causes all of the particles that make up the body to move in a circle around a single axis.

Hence the correct answer is both a and b are false.