Let (R2, d) be the metric space whose distance d(P1, P2) between two points P1 = (x1

Chapter 16, Problem 16.8

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Let (R2, d) be the metric space whose distance d(P1, P2) between two points P1 = (x1, y1)and P2 = (x2, y2) is given by d(P1, P2) = (x1 x2)2 + (y1 y2)2. Prove that the setS = {(x, y) : 1

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