MathDB
2020 PUMaC Team 4

Source:

January 1, 2022
geometryanalytic geometry

Problem Statement

Find the number of points PZ2P \in Z^2 that satisfy the following two conditions: 1) If QQ is a point on the circle of radius 2020\sqrt{2020} centered at the origin such that the line PQPQ is tangent to the circle at QQ, then PQPQ has integral length. 2) The x-coordinate of PP is 3838.