Find the differential equation of the family of circles whose centres lie on `X`-axis.

Options

A. `((dy)/(dx))^2 +y(d^2y)/(dx^2)-1` =0
B. `((dy)/(dx))^2 -y(d^2y)/(dx^2) + 1 = 0`
C. `((dy)/(dx))^(2)-y(d^(2)y)/(dx^()2)-1=0`
D. `((dy)/(dx))^2 -y(d^2y)/(dx^2) - 1 = 0`

Answer

D