MathDB
Analytic Geometry

Source: 1998 National High School Mathematics League, Exam One, Problem 11

March 9, 2020
conicsellipseparabolaanalytic geometrygeometry

Problem Statement

If ellipse x2+4(yāˆ’a)2=4x^2+4(y-a)^2=4 and parabola x2=2yx^2=2y have intersections, then the range value of aa is________.