MathDB
Find the Path

Source: 1993 National High School Mathematics League, Exam One, Problem 14

February 28, 2020
conicsparabola

Problem Statement

If 0<a<b0<a<b, given two fixed points A(a,0),B(b,0)A(a,0),B(b,0). Draw lines ll passes AA, mm passes BB. They have four different intersections with parabola y2=xy^2=x. If the four points are concyclic, find the path of P(P=l∩m)P(P=l\cap m).
Back to ProblemsView on AoPS