A curve y = f(x) has the property that the perpendicular distance of the origin from the normal at any point P of the curve is equal to the distance of the point P from the x-axis, then
(A) the differential equation of the curve is homogeneous
(B) the differential equation of the curve can be converted into linear differential equation with some suitable substitution
(C) the curve is a family of circles touching the x-axis at the origin
(D) the curve is a family of circles touching the y-axis at the origin
