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Shortest path between two points on a plane.

Let A = (0, 1) and B = (3, 2) be points on a plane. What is the length of the shortest path from A to the x-axis to B? Find where the path should touch the x-axis for this minimum to be attained and argue why it is the minimum.

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The shortest path between two points on a plane is investigated. The solution is detailed and well presented.

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