Mathematics
Find the co-ordinates of the points of tri-section of the line joining the points (-3, 0) and (6, 6).
Section Formula
11 Likes
Answer
From figure,

Let A and B be the points of tri-section of the line joining the points (-3, 0) and (6, 6).
So, A and B divides the segment in three equal parts.
A divides the line segment in ratio 1 : 2. Let co-ordinates of A be (a, b).
By formula,
A = (a, b) = (0, 2).
B divides the line segment in ratio 2 : 1. Let co-ordinates of B be (c, d).
By formula,
B = (c, d) = (3, 4).
Hence, points of tri-section are (0, 2) and (3, 4).
Answered By
7 Likes
Related Questions
Calculate the ratio in which the line joining A(6, 5) and B(4, -3) is divided by the line y = 2.
The point P(5, -4) divides the line segment AB, as shown in the figure, in the ratio 2 : 5. Find the co-ordinates of points A and B. Given AP is smaller than BP.
Show that the line segment joining the points (-5, 8) and (10, -4) is trisected by the co-ordinate axes.
Show that A(3, -2) is a point of trisection of the line-segment joining the points (2, 1) and (5, -8). Also, find the co-ordinates of the other points of trisection.