Let $P$ be a plane $l x+m y+n z=0$ containing the line, $\frac{1-x}{1}=\frac{y+4}{2}=\frac{z+2}{3}$. IF plane $P$ divides the line segment $A B$ joining points $A(-3,-6,1)$ and $B(2,4,-3)$ in ration $k: 1$ then the value of $k$ is equal to :
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