Find the equation of the circle passing through the points
(i) (0, 0), (5, 0) and (3, 3)
(ii) (1, 2), (3, - 4) and (5, - 6)
(iii) (20, 3), (19, 8) and (2, - 9)
Also, find the centre and radius in each case.
(i) The required circle equation
= 0
Using Laplace Expansion
is the equation with centre = (2.5, 0.5)
Radius = 
(ii) The required circle equation
= 0
Using Laplace Expansion
is the equation with centre = (11, 2)
Radius = 
(iii) The required circle equation
= 0
Using Laplace Expansion
is the equation with centre = (7, 3)
Radius = 
1