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Let the line 3x+y-9=0 divides the line segment joining the points (1,3) and (2,7) at a point X in the ratio k:1
BY section formula, the coordinates of X are 
X(2k+1/k+1,7k+3/k+1) and this point lies on the line 3x +y-9
Ans therefore the line segment is givided inj the ratio 3:4

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