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imc

geometry intermediate

Problem

Two points and are in a plane. Let be the set of all points in the plane for which has area Which of the following describes
(A)
(B)
(C)
(D)
Solution
Let be the length of the altitude of Since segment is the base of the triangle and cannot change, the area of the triangle is and Thus consists of two lines parallel to and is units away from it.
Final answer
A