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# A line through $A(-5,-4)$ meets the lines $x+3 y+2=0$, $2 x+y+4=0$ and $x-y-5=0$ at the point $B, C$ and $D$,

###### Question:

A line through $A(-5,-4)$ meets the lines $x+3 y+2=0$, $2 x+y+4=0$ and $x-y-5=0$ at the point $B, C$ and $D$, respectively. If $left(frac{15}{A B} ight)^{2}+left(frac{10}{A C} ight)^{2}=left(frac{6}{A D} ight)^{2}$, the equa- tion of the line is (A) $2 x+3 y+22=0$ (B) $2 x-3 y+22=0$ (C) $3 x+2 y+22=0$ (D) $3 x-2 y+22=0$

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