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Question

Find the ratio in which the line segment joining points (-3, 10) and (6, - 8) is divided by (-1, 6).

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Solution

Let the ratio in which the line segment joining (-3, 10) and (6, - 8) is divided by (-1, 6) be k : 1.
Therefore, 1=6k+1(3)k+1
k1=6k3
2=7k
k=27
k:1=27:1=2:7
Therefore, the ratio in which the line segment joining the points (-3, 10) and (6, - 8) is divided is 2:7.

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