segment of arc midpoints perpendicular to parabola axis, circle related
Source: Belarus TST 2015 4.1
June 9, 2020
conicsparabolaperpendiculararc midpointgeometryconic section
Problem Statement
A circle intersects a parabola at four distinct points. Let and be the midpoints of the arcs of the circle which are outside the parabola. Prove that the line is perpendicular to the axis of the parabola.I. Voronovich