Circle Through Two Fixed Points with Centre on a Given Line

Circle Through Two Fixed Points with Centre on a Given Line

If the centre $$(h,k)$$ lies on:

$$Ah+Bk+C=0$$

and the circle passes through fixed points $$P,Q$$:

$$OP=OQ$$

Usage

- Used to determine a unique circle when its centre is constrained to a line and it must pass through two points.