The standard equation for a circle whose center is on the straight line 5x-3y-8 and tangent to both axes Good brother and sister, do me a favor

The standard equation for a circle whose center is on the straight line 5x-3y-8 and tangent to both axes Good brother and sister, do me a favor

If x = y or x = - y and the center of the circle is on 5x-3y = 8, x = y = 4x = - y, then x = 1, y = - 1, then the center of the circle is (4,4) or (1, - 1), and the radius is the distance from the center of the circle to the tangent line, that is, the distance from the center of the circle to the coordinate axis, so the center of the circle is (4,4), then r = 4, and the center of the circle is (1, - 1), then r = 1, so