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A line through A(-5,-4) meets the lines ...

A line through `A(-5,-4)` meets the lines `x+3y+2=0,2x+y+4=0a n dx-y-5=0` at the points `B , Ca n dD` rspectively, if `((15)/(A B))^2+((10)/(A C))^2=(6/(A D))^2` find the equation of the line.

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The correct Answer is:
`2x+3y+22=0`
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