Answer :
Suppose the line 3x + y – 9 = 0 divides the line segment joining A (1, 3) and B (2, 7) in the ratio k: 1 at point C,
By using section formula,
∴ Coordinates of C are
But C lies on 3x + y – 9 = 0
Putting coordinates of C on the line,
3(2k + 1) + (7k + 3) - 9(k + 1)=0
6k + 3 + 7k + 3-9k-9=0
4k-3=0
Required ratio is 
or 3:4 internally.
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