Putnam 2007 A1
Source:
December 3, 2007
Putnamsymmetryanalytic geometrygraphing linesslopequadraticsgeometry
Problem Statement
Find all values of for which the curves y\equal{}\alpha x^2\plus{}\alpha x\plus{}\frac1{24} and x\equal{}\alpha y^2\plus{}\alpha y\plus{}\frac1{24} are tangent to each other.