# Geo4.19

From Example Problems

Find the circle which passes through (4,-3),(-1,2) and has its centre on the line

Let the equation of the circle be

The point (4,-3) lies on the circle,hence

Point (-1,2) lies on the circle

Also the centre lies on

Hence

solving the first two equations,we get

Solving this and the last equation,

Value of f is 1, g=-1 and c=11

Equation of the circle is