Question

Find the coordinates of the points of trisection of the

line segment joining (4, –1) and (–2, –3).​

Answer 1

Answer:

Let P and Q be the points of trisection of line joining the points A(4,1) & B(-2,-3).

Then, AP = PQ = QB

Now, P divides AB in the ratio 1:2 and Q divides AB in the ratio 2:1.

Therefore,

Coordinates of P = (

3

(−7+4)

,

3

4−4

)=(−1,0)

Coordinates of Q = (

3

(−14+2)

,

3

8−2

)=(−4,2)

Hence, the two points of trisection are P(−1,0) and (−4,2).