DK-GEORGMOHR 1999 Problem 1
In a coordinate system, a circle with radius and center is on the y-axis placed inside the parabola with equation , so that it just touches the parabola in two points. Determine the coordinate set for the center of the circle.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 1999 official paper, page 1.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.