Find the equation of a line which divides the line segment joining the points \( (1,-2) \) and \...

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Find the equation of a line which divides the line segment joining the points \( (1,-2) \) and \( (3,-1) \) in the ratio \( 3: 1 \) perpendicularly.
(a) \( x-2 y-5=0 \)
(b) \( 6 x+4 y-5=0 \)
(c) \( 3 x+2 y-5=0 \)
(d) \( 8 x+4 y-15=0 \)
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