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The solution of (dy)/(dx) = (ax + h)/(by...

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

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`

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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