# Too many calculations?

Geometry Level pending

If from a point $$P (4,4)$$ perpendiculars to the straight lines $$3x + 4y +5 = 0$$ and $$y=mx+7$$ meet at $$Q$$ and $$R$$ respectively and area of $$\triangle PQR$$ is maximum. Then the value of $$3333m$$ must be?

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