OME 1971 Problem 3

If $0 < p$ , $0 < q$ and $p +q < 1$ prove $(px + qy)^2 \le px^2 + qy^2$

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.