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Numerade Educator



Problem 66 Hard Difficulty

Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Show that the given families of curves are orthogonal trajectories of each other; that is, every curve in one family is orthogonal to every curve in the other family. Sketch both families of curves on the same axes.
$ x^2 + y^2 = ax, x^2 + y^2 = by $




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Video Transcript

So for this problem again with computed derivative by imprisoning depreciation and as you and we beautify, there are Flo. And we can use these to evacuation to chance things because on their interception on both, the question should be satisfied so we can use those equation to swap variables. And then here we go the Internet before means is to ah, lines are ah is two lies are prevented from each other, thes to tension. And so these are all over them curves.