The differential equation of the family of lines where length of the normal form origin is p and the inclination of the normal i

The differential equation of the family of lines where length of the normal form origin is p and the inclination of the normal is `alpha`, is
A. `(d^(2)y)/(dx^(2))=cotalpha`
B. `(d^(2)y)/(dx^(2))=0`
C. `(dy)/(dx)=cotalpha`
D. `(dy)/(dx)=-cotalpha`

The differential equation of the family of lines where length of the normal form origin is p and the inclination of the normal is `alpha`, is

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