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

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Find the equation of a line which divides the line segment joining the points \( (1,1) \) and \( (2,3) \) in the ratio \( 2: 3 \) perpendicularly.
(a) \( 5 x-5 y+2=0 \)
(b) \( 5 x+5 y+2=0 \)
(c) \( x+2 y-5=0 \)
(d) \( x+2 y+7=0 \)
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