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JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1
The orthogonal trajectories of the family of curves an−1y=xna^{n-1} y=x^n are given by (aa is the arbitrary constant)
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Correct option: B
ny2+x2=ny^2+x^2= constant
Option B (ny2+x2=ny^2+x^2= constant) is the correct orthogonal trajectory after finding the differential equation and solving the orthogonal trajectory equation.

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