MathDB

2021 Geo #1: Circle on the coordinate plane

Source:

May 30, 2021

analytic geometry

Problem Statement

A circle contains the points

(0, 11)

and

(0, -11)

on its circumference and contains all points

(x, y)

with

x^2+y^2<1

in its interior. Compute the largest possible radius of the circle.