Question

find the ratio in which the point P ( 3/4 , 5/12 ) divides the line segement joining the point A ( 1/2 , 3/2 ) and B ( 2 , -5 )​

Answer 1

P(x,y)=(3/4,5/12), A(x1,y1)=(1/2,3/2) and B(x2,y2)=(2,-5)

Let ratio=m1:m2

x=m1x2+m2x1/m1+m2

=>3/4=2m1+1/2m2/m1+m2

=>3/4m1+3/4m2=2m1+1/2m2

=>3/4m1-2m1=1/2m2-3/4m2

=>-1.25m1=-0.25m2

=>m1/m2=-0.25 /-1.25

=>m1/m2=1/5

So ratio=1:5

hope this answer helps you....