Question

The points (5,-1) divides the line segment joining points A and B in the ratio 2:3 .If A is (11,-3), then B will be ?
Section formula

Answer 1

m1:m2=2:3

m1=2

m2=3

(x,y)=(5,-1)

(x1,y1)=(11,-3)

x=(m1x2+m2x1)/(m1+m2)

=>5=(2(x2)+33)/5

=>25=2(x2)+33

=>-8/2=x2

=>x2=-4

y=(m1y2+m2y1)/(m1+m2)

=>-1=(2(y2)-9)/5

=>-5=2(y2)-9

=>4/2=y2

=>y2=2

B(x2,y2)=(-4,2)

Answer 2

Therefore, the coordinates of point B are(-4,2).

Hope this helps!