# Geo4.121

From Example Problems

Find the equation to the circle touching the line and belonging to the coaxal system determined by and the radical axis

The equation of the circle belonging to the coaxal sysem detemined by

and the radical axis is

centre of the circle is

Radius is

Since the circle touches the line 2x-y+3=0,we have

By solving,

Hence the equation of the required circle is