An object moves in a plane such that it is at a constant length from a given point. Motion of the object could be:

Rectilinear and Rotational

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Circular and Rectilinear

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Periodic and Circular

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Translatory and Rotational

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Solution

The correct option is C Periodic and Circular
The moving object stays at a constant length from the centre and moves in a plane. This happens only if the object is moving on the circumference of the circle. If the object does not reverse its direction and does not change its speed, it executes a circular and periodic motion.

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