The orthogonal trajectories of the family of curves a n–1 y = x n are given by (a is the…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
The orthogonal trajectories of the family of curves
an–1 y = xn are given by (a is the arbitary constant)
an–1 y = xn are given by (a is the arbitary constant)
- xn + n2y = constant
- ny2 + x2 = constant
- n2x + yn = constant
- n2x – yn = constant
Answer
(B) ny 2 + x 2 = constant
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