The correct answer is: A rotary motion.
A rotary motion is a type of motion in which an object rotates around a fixed axis. The axis can be any line that passes through the object and does not change its direction. Examples of rotary motion include the Earth rotating on its axis, a wheel spinning, and a door swinging on its hinges.
A circular motion is a type of motion in which an object moves in a circle around a fixed point. The object’s distance from the fixed point remains constant, but its direction changes constantly. Examples of circular motion include the Earth orbiting the Sun, a car driving around a track, and a ball rolling around a table.
A translatory motion is a type of motion in which an object moves in a straight line. The object’s direction does not change, but its position does. Examples of translatory motion include a car driving down the road, a ball rolling across the floor, and a person walking.
In the question, the body is moving around a fixed axis. This means that the body is rotating around a fixed point. This type of motion is called rotary motion.