Find the least possible area of a convex set in the plane that intersects both branches of
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Find the least possible area of a convex set in the plane that intersects both branches of the hyperbola xy = 1 and both branches of the hyperbola xy = -1. (A set S in the plane is called convex if for any two points in S the line segment connecting them is contained in S.)
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First note that the square with vertices 1 1 1 1 1 1 and 1 1 has area 4 We claim t...View the full answer
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