Question

Find the point which divides the line segment
joining the points A(4, 2) and B(8, 4) internally in the
ratio 1:2.​

Answer 1

Answer:

16/3 , 8/3

Step-by-step explanation:

let the point be P(x,y)

m:n= 1:2

x1= 4 , x2= 8 , y1 = 2 and y2 = 4

By section formula,

P(x,y) = mx2+nx1/ m+n , my2+ny1/m+n

= 1(8)+2(4)/ 3 , 1(4)+2(2)/ 3

= 8+8/3 , 4+4/3

= 16/3 , 8/3

P(x,y)= {16/3 , 8/3}