Q11 of 112 Page 146

Find the ratio in which the x–axis divides the line segment joining the points (6, 4) and (1, –7).

Let l:m be the ratio of the line segment joining the points (6,4) and (1, –7) and let p (x, 0) be the point on x–axis.



Section formula internally:


(x, 0) =


(x, 0) =


Equating the y– coordinates



–7l +4 m = 0


–7l = –4m



l:m = 4: 7


Therefore, x–axis divides the line segment in the ratio 4: 7 internally.


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