Find the orthogonal trajectories of family of curves `x^2+y^2=c x`

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In this video, I am discussing the definition of orthogonal trajectory with one important example that explains how to solve for orthogonal trjectory.
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At 4:10, I think you forgot the y. It should be y(dt/dy) not dt/dy

squeezedlemonade
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answer is wrong check again
the correct answer is x2+y2 = ky

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