If p:7 is the ratio in which the line segment joining the points (-3, 10) and (6, - 8) is divided by (-1, 6), what is the value of p?
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Solution
The correct option is A 2 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.