# Two Points on a Circle_Parametric Equations

- Author:
- ayoob

- Topic:
- Equations

The green slider controls the angle between the line segment OP and the x-axis.

Imagine two points, P and Q, on a unit circle.
They start together from (1,0) and go at constant speeds in an anticlockwise direction around the circle but Q goes twice as fast as P.
What path is followed by the midpoint of PQ?
Write the equations for the locus of the midpoint M.