Question

Example 8: Find the coordinates of the points of trisection (i.e., points dividing in
three equal parts) of the line segment joining the points A(2,-2) and B(-7,4).
Solution : Let P and Q be the points of​

Answer 1

Answer:

Step-by-step explanation:

Trisection coordinates are (-1,0) and (-4,2).

Step-by-step explanation:

Given  line segment joining the points A(2,-2) and B(-7,4). we have to find the coordinates of the points of trisection.

Let the trisection coordinates are C(a,b) and D(c,d)

By mid-point formula

From above two , we get

and  

we get the equations

2a-c-2=0   →    (1)

a-2c-7=0   →    (2)

2b-d+2=0  →    (3)

b-2d-4=0   →    (4)

Solving equations (1), (2), (3) and (4), we get

a= -1  , b= 0   , c= -4   , d= 2

Hence, trisection coordinates are (-1,0) and (-4,2).