Find the orthogonal trajectories of y=k/√x
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orthogonal trajectory, family of curves that intersect another family of curves at right angles (orthogonal; see figure). In two dimensions, a family of curves is given by the function y = f(x, k), in which the value of k, called the parameter, determines the particular member of the family. ...
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The given curve is y2 = 4a(x + a) ...(i) d√(x2 + y2) = 2dx Integrating, we get √(x2 + y2) = 2x + c which is the required orthogonal trajectoryRead more on Sarthaks.com - https://www.sarthaks.com/565269/find-the-orthogonal-trajectories-to-the-curve-y-2-a-x-a
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