The differential equation of the family ...

The differential equation of the family of curves for which the length of the normal is equal to a constant k, is given by

A

`y^2(dy)/(dx)=k^2-y^2`

B

`(y(dy)/(dx))^2=k^2-y^2`

C

`y((dy)/(dx))^2=k^2+y^2`

D

`((dy)/(dx))^2=k^2+y^2`

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The correct Answer is:

B

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