What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

Question

asked May 25, 2021 128k views

2 Answers

Vikas Raturi · Answer 1 · 2021-05-31T07:27:29+0000

Answer:

(1,4(1)/(3))

Explanation:

The coordinates of A and B are missing in the question

Assuming point A is at (1,2) and B is at (1,9) then the coordinates of that partitions AB in the ratio m:n=1:2 is given by:

((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n))

We substitute the values to get:

((1 * 1+2 * 1)/(1+2),(1 * 9+2 * 2)/(1+2))

We simplify to get:

((1+2 )/(3),(13)/(3))

((3 )/(3),(13)/(3))

(1,4(1)/(3))