Find the equation of circle passing through the points :
(0,0) ,(2,0) and (0,4)
also, find its centre and radius.

Answer

(i) ` x^(2) + y^(2) - 2x - 4 y = 0 `
ii. ` x^(2) + y^(2) - 3 x - 2y 0 `
iii. `x^(2) + y^(2) = 1 `
(iv) ` 13x^(2) + 13y^(2) - 64x + 10y - 332 = 0 `
v. `x^(2) + y^(2) - 18x + 6y + 25 = 0 `
VI. `x^(2) + y^(2) - 5x - y = 0 `
vii. `x^(2) + y^(2) - 4x - 2y - 20 = 0 `
viii. `x^(2) + y^(2) - 4x - 2y - 20 = 0 `
ix. ` x^(2) + y^(2) - 22x - 4y + 25 = 0 ; ` (11, 2) , 10.