Find the coordinates of the points of trisection of the line segment joining (4,–1) and (–2, –3)
Let P (x1, y1) and Q (x2, y2) are the points of trisection of the line segment joining the given points i.e., AP = PQ = QB
Therefore, point P divides AB internally in the ratio 1:2
x1 = ![]()
=
= 2
y1 = ![]()
= ![]()
= ![]()
Therefore, p (x1, y1) = (2,
)
Point Q divides AB internally in the ratio 2:1
x2 = ![]()
=
= 0
y1 = ![]()
= ![]()
= ![]()
Q (x2, y2) = (0,
)