UA-UMO 1999 Problem 112
Find all values of the parameter for which the system of inequalities \begin{align*} ky^2+4ky-2x+6k+3&\le0 kx^2-2y-2kx+3k-3&\le0 \end{align*}has a unique solution.
Dataset text AI-MO AoPS. Quoted with source.
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