CIIM 2009 Problem 4

Let $m$ be a line in the plane and $M$ a point not in $m$ . Find the locus of the focus of the parabolas with vertex $M$ that are tangent to $m$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.