# Clash of the coordinates!

Geometry Level 5

A right triangle has to be constructed with the legs parallel to the axes of co-ordinates. If the equations of the medians to the two legs are $$3x-y+1=0$$ and $$mx-y+2=0$$, the number of values of $$m$$ for which, such a triangle exists can be expressed as a positive integer $$p$$. Enter the value of $$p$$ as your answer.

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