Circle Through a Fixed Point with Variable Centre

Circle Through a Fixed Point with Variable Centre

If the centre $$(h,k)$$ moves on a locus $$L(h,k)=0$$ and the circle passes through fixed point $$(x_1,y_1)$$:

$$r^2=(x_1-h)^2+(y_1-k)^2$$

Usage

- Used to construct or determine a family of circles whose centres satisfy a given condition.