MathDB
2015 Fall Team #10

Source:

March 26, 2022
analytic geometrygeometry

Problem Statement

Let PP be the parabola in the plane determined by the equation y=x2y = x^2 . Suppose a circle CC in the plane intersects PP at four distinct points. If three of these points are (28,784)(-28, 784),(2,4)(-2, 4), and (13,169)(13, 169), find the sum of the distances from the focus of PP to all four of the intersection points