Locus of touch points between the ellipse and the line
Source: Sharygin Correspondence Round 2024 P22
March 6, 2024
conicsellipsegeometryperpendicular bisector
Problem Statement
A segment is given. Let be an arbitrary point of the perpendicular bisector to ; be the point on the circumcircle of opposite to ; and an ellipse centred at touch . Find the locus of touching points of the ellipse with the line .