Given that the circle C and the y-axis intersect at two points m (0. - 2), and the center of the circle C is on the straight line 2x-y-6 = 0, the equation of circle C is obtained

Given that the circle C and the y-axis intersect at two points m (0. - 2), and the center of the circle C is on the straight line 2x-y-6 = 0, the equation of circle C is obtained

Obviously, the vertical line of Mn is the x-axis, and C is on the vertical line of Mn, so C is the intersection of the line 2x-y-6 = 0 and the x-axis (3,0)
CM = r = √[(0-3)²+(-2-0)²]= √13
The equation of circle C: (x - 3) &# 178; + Y & # 178; = 13