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The differential equation of the family ...

The differential equation of the family of straight line `y=mx+(4)/(m)`, where m is the parameter, is

A

`x(dy)/(dx)=0`

B

`(x-y)(dy)/(dx)=4`

C

`x((dy)/(dx))^(2)-y(dy)/(dx)=4`

D

`x((dy)/(dx))^(2)-y(dy)/(dx)+4=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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