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Find the Orthogonal Trajectories of the Family of Curves kx2+y2=1k x ^ { 2 } + y ^ { 2 } = 1

Question 73

Essay

Find the orthogonal trajectories of the family of curves. Sketch several members of each family.
- kx2+y2=1k x ^ { 2 } + y ^ { 2 } = 1

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