The solution of (dy)/(dx)=(a x+h)/(b y+k...

The solution of `(dy)/(dx)=(a x+h)/(b y+k)` represent a parabola when (a) `( b ) (c) a=0,b!=0( d )` (e) (b) `( f ) (g) a!=0,b!=0( h )` (i) (c) `( d ) (e) b=0,a!=0( f )` (g) (d) `( h ) (i) a=0,b in R (j)` (k)

`a=0, b ne 0`

`a ne 0, b ne 0`

`b=0, a ne 0`

`a=0, b in R`

Text Solution

Verified by Experts

The correct Answer is:

A, C

`(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`

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