MathDB
2017-2018 Spring OMO Problem 9

Source:

April 3, 2018

Problem Statement

Let kk be a positive integer. In the coordinate plane, circle ω\omega has positive integer radius and is tangent to both axes. Suppose that ω\omega passes through (1,1000+k)(1,1000+k). Compute the smallest possible value of kk.
Proposed by Luke Robitaille
Back to ProblemsView on AoPS