olymmath

Putnam 2007 A2

  • Session A

Find the least possible area of a convex set in the plane that intersects both branches of the hyperbola xy=1xy = 1 and both branches of the hyperbola xy=−1xy = -1. (A set SS in the plane is called convex if for any two points in SS the line segment connecting them is contained in SS.)

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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