MathDB

France TST 2003 D1 Q3

Source:

March 2, 2013

geometrycircumcircletrigonometryincentertrig identitiesLaw of Sinesgeometry unsolved

Problem Statement

M

is an arbitrary point inside

\triangle ABC

AM

intersects the circumcircle of the triangle again at

A_1

. Find the points

M

that minimise

\frac{MB\cdot MC}{MA_1}