Saturday, 28 November 2020 08:59 AM
ANSWER
Let the point P(11,15)divide the line segment A=(15,5) and B=(9,20) in ratio m1?:m2?
A=(15,5)?x1?=15,y1?=5B+(9,20)?x2?=9,y2?=20P=(11,15)?x=11,y=15
So by formula,
x=m1?+m2?m1?x2?+m2?x1???11=m1?+m2?9m1?+15m2???11(m1?+m2?)=9m1?+15m2??11m1?+11m2?=9m1?+15m2??11m1?-9m1?=15m2?-11m2??2m1?=4m2?m2?m1??=24?m2?m1??=12?
The ratio is 2:1