The differential equation of all non-horizontal lines in a plane is

Options

A. `(d^(3)y)/(dx^(3))=0`
B. `(dx)/(dy)=0`
C. `(dy)/(dx)=0`
D. ` (d^(2)x)/(dy^(2))=0`

Answer

d

Explanation

The equation of non- horizontal lines in a plane is ` ax+ by =1` , where `a!= 0`
On differentiae w.r.t , we get
`rArr a(dx)/(dy) +b = 0 `
Further differentiating
` rArr a (d^(2)x)/(dy^(2)) = 0 `
` rArr (d^(2)x)/(dy^(2))= 0 `