EXAMPLE 4 :
Find the equation of the circle having AB as diameter
where A is the point (1,8) and B is the point (3,14).
Solution :
Let (h,k) be the centre of a circle radius r,
Given A (1,8) and B (3,14)
2
AB 3 1 14 8 2
2 2 6 2
40
2 10
2 10
radius, r 10
2