Question

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

A
5:4
B
4:5
C
7:2
D
2:7

Solution

## The correct option is D 2:7Let A(-3,10), B(6,-8) and P(-1,6). Let P divides AB in the ratio k:1. So, by using section formula, we get (−1, 6)=(6k−3k+1, −8k+10k+1)On comparing x−coordinate, we get  −1=6k−3k+1⇒−k−1=6k−3⇒7k=2⇒k=27 Hence, P divides AB in the ratio 2:7.

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