MathDB

| z - 3i t| + | z - 4 | <= 5\sqrt{2}

Source: BMT 2019 Geo #5 https://artofproblemsolving.com/community/c2503497_2019_bmt_spring

December 30, 2021

inequalitiesalgebracomplex numbersgeometry

Problem Statement

Find the area of the set of all points

z

in the complex plane that satisfy

\left| z - 3i \right| + \left| z - 4 \right| \leq 5\sqrt{2}