Question

In what ratio does the point (24/11,y) divide the line segment joining the points A(2,-2) and Q(3,7).also find the value of y.

Answer 1

P(x,y)= [mx2+nx1/m+n],[my2+ny1/m+n]
here, x1=2,x2=3,y1=-2,y2=7
P(24/11,y)= [3m+2n/m+n],[7m-2y/m+n]
just considering the value of 'x'
24/11=3m+2n/m+n
24/11m+24/11n=3m+2n
24/11n-2n=3m-24/11m
2.1n-2=3-2.1m
0.1n=0.9m
M:n=0.1:0.9
M:n=1:9
now taking y ,
y=7m-2y/M+n
y=0.1-1.8/1
y=1.9

Answer 2

let the ratio be = m:n
24/11=(3m+2n)/(m+n)
24m+24n=33m+22n
9m=2n
m/n=2/9 answer