# JEE Coordinate (6)!

Geometry Level 4

The slopes of three sides of a triangle are -1 , -2 and 3 .

If the orthocenter of this triangle is the origin, and the locus of the centroid of this triangle can be expressed as $$\dfrac xy = \dfrac mn$$, where $$m$$ and $$n$$ are coprime positive integers, find $$m-n$$.

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