Putnam 1942 B1
- Session B
A square of side , lying always in the first quadrant of the -plane, moves so that two consecutive vertices are always on the - and -axes respectively. Prove that a point within or on the boundary of the square will in general describe a portion of a conic. For what points of the square does this locus degenerate?
Dataset text AI-MO AoPS. Quoted with source.
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