Form the differential equation of family of lines situated at a constant distance `p` from the origin.

Options

A. `(x^(2)+y^(2))(dy)/(dx)=2y{x-p((dy)/(dx))^(2)}`
B. `(x(dy)/(dx)-y)^(2)-p^(2){1+((dy)/(dx))^(2)}=0`
C. `(x(dy)/(dx)-y)^(2)-(p(dy)/(dx)+x(dy)/(dx))=0`
D. `(x-y)-((dy)/(dx)-(dx)/(dy))=0`

Answer

B