The differential equation corresponding to all the circle lting in the first quadrant and touching the coordinate axes is

Options

A. `(x-y)^(2)[1+((dy)/(dx))^(2)]=(x+y(dy)/(dx))^(2)`
B. `(x-y)^(2)[1+(dy)/(dx)]^(2)=(x+y(dy)/(dx))^(2)`
C. `(x-y)^(2)[1+(dy/(dx))^(2)]=x+y((dy)/(dx))^(2)`
D. `(x-y)^(2)[1+(dy)/(dx)]= ( x+ y (dy)/(dx))^(1/2)`

Answer

A