Question

what are the co-ordinates of the point that divides the line segment joining the points (1,5) and (7,2) internally in the ratio 1:2?

Answer 1

using section formula
m:n::1:2.....and x1=1...x2=7....y1=5....y2=2
(x,y)= {(mx2+ nx1)/(m+n)} , {(my2+ny1)/(m+n)}
so
(x,y)= (3,4)....

Answer 2

m1x2+m2x1/m1+m2
1(7)+2(1)/1+2
7+2/3
9/3=3

m2y1+m1y2/m1+m2
2(5)+1(2)/1+2
10+2/3
12/3=4

there for co-ordinates of p(3,4)