Q6 of 49 Page 1

Determine the ratio in which the line divides the segment joining the points (1, 3) and (2, 7)

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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