Question

Find the orthogonal trajectories of y=k/√x​

Answer 1

Answer:

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. ...

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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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