A triangle has two of its sides along the lines $y=m_{1}x$ & $y=m_{2}x$ where $m_{1},m_{2} $ are the roots of the equation $3x^{2}+10x+1=0$ and $H\ (6,2)$ be the orthocentre of the triangle. If the equation of the third side of the triangle is $ax+by+1=0$, then
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