The orthogonal trajectories of the famil...

The orthogonal trajectories of the family of curves `a^(n-1)y=x^(n)` are give by

A

`x^(n)+n^(2)y=` constant

B

`ny^(2)+x^(2)=` constant

C

`n^(2)x+y^(n)=` constant

D

`n^(2)x-y^(n)=` constant

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