Question

Find the equations of circle which passes through the point (0 , 5 ) and ( 6 , 1 ) and whose centre lies on the line 12 x + 5y = 25

Answer 1

Let the circle be $x^2 \, + \Let the circle be $x^2+y^2+2gx+2fy+c=0$
Its centre (-g,-f) lies on , y^2 \, + \, 2gx \, + \, 2fy \, + \, c \, = 0$
Its centre (-g,-f) lies on