(Solution) - The French Railroad Suppose that Paris is located at the -(2025 Original AI-Free Solution)

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The French Railroad Suppose that Paris is located at the origin of the xy-plane. Rail lines emanate from Paris along all rays, and these are the only rail lines. Determine the set of discontinuities of the following functions.
(a) ((x, y) is the distance from (x, y) to (1, 0) on the French railroad.
(b) g(u, v, x, y) is the distance from (u, v) to (x, y) on the French railroad.