The circle C with the center of the circle on the straight line 2x-y-7 = 0 intersects at two points a (0-4) B (0-2) on the Y axis to find the equation of circle C,

The circle C with the center of the circle on the straight line 2x-y-7 = 0 intersects at two points a (0-4) B (0-2) on the Y axis to find the equation of circle C,

∵ a (0, - 4), B (0, - 2) ∵ AB's midpoint coordinates are (0, - 3) and the center of the circle is on the line 2x-y-7 = 0 ∵ if the coordinate of point C is (x, 2x-7) passing through the center of the circle C as CD ⊥ AB, then point D is the midpoint of AB and the CD slope of the line k = 0, ∵ (2x-7 + 3) / x = 0. The solution is: x = 2 ∵ the coordinate of point C is (2, - 3) radius | CB | = √ (2