locus of intersections of 2 lines, fixed circle and fixed line
Source: 2022 Oral Moscow Geometry Olympiad grades 8-9 p5
April 17, 2022
Locusgeometry
Problem Statement
Given a circle and a straight line passing through its center (points and are fixed, is outside the circle, and is inside). Find the locus of the intersection of lines and , where is an arbitrary diameter of the circle.(A. Akopyan, A. Zaslavsky)