Question 4 Find the ratio in which the line segment joining the points (-3, 10) and (6, - 8) is divided by (-1, 6).
A
2:7
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B
7:2
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C
3:5
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D
5:3
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Solution
The correct option is A 2:7 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 ⇒−k−1=6k−3 ⇒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.