The solution of `(dy)/(dx) = (ax + h)/(by + k)` represents a parabola when

Options

A. a=0,b=0
B. a=1,b=2
C. a=0,`b!=0`
D. a=2 , b = 1

Answer

c

Explanation

Given ,` (dy)/(dx) = (ax+h)/(by+k) `
` rArr int (by +k ) dy = int (ax + h ) dx`
` rArr (by^(2))/2 + ky = (ax^(2))/2 + hx +C`
Thus , above equation represents a parabola , if
`a = 0 andb!= 0`
or ` b=0 and a!= 0`