Find Orthogonal trajectories to the family of straight lines y=k(x-1) where k in R

Question: Find Orthogonal trajectories to the family of straight lines y=k(x-1) where k in R Solution : Given family of straight lines \[y=k(x-1) \] (1) To obtain Orthogonal trajectories Step 1: Differentiating with respect to x \[\frac{dy}{dx}=k\] Step 2: replace…

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