Question 91
Let $ABCD$ be a square of side length $1$ in the plane. Determine the locus of all points $P$ with the property
$$
AP \cdot CP + BP \cdot DP = 1
$$
$$
AP \cdot CP + BP \cdot DP = 1
$$
MathNet 2008-part-04 — 165 problems (EN–VI) Question 91
Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)