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

Options

A. `a=0, b ne 0`
B. `a ne 0, b ne 0`
C. `b=0, a ne 0`
D. `a=0, b in R`

Answer

A, C

Explanation

`(dy)/(dx) = (ax+h)(by+k)` or `(by+k)dy=(ax+h)dx`
or `by^(2)/2+y=a/2x^(2)+hx+C`
For this to represent a parabola, either `a=0, b ne 0` or `a ne0, b=0`