The differential equation of all circles passing through the origin and having their centres on the X-axis is
(a) x2 = y2 + xydy/dx
(b) x2 = y2 + 3xydy/dx
(c) y2 = x2 + 2xydy/dx
(d) y2 = x2 - 2xydy/dx
Correct option (c) y2 = x2 + 2xydy/dx
Explanation:
General equation of all such circles which pass through the origin and whose centre lie on X-axis, is
