Find the ratio in which the line segment joining the point (-3,10) and (6,-8) is divided by (-1,6)
x= m1x2\xa0+m2\xa0x1/m1+m2-1=m1x6 +m2\xa0x-3/m1+m26m1\xa0-3m2\xa0= -1(m1+m2)6m1\xa0-3m2\xa0= -m1\xa0-m26m1+m1\xa0= -m2\xa0+3 m27m1\xa0= 2m2m1/m2\xa0= 2/7So,point (-1,6)divides the line segment joining the points (-3,10) and (6,-8) in 2:7.
2:7 or 7:2
7 : 2