Find the coordinates of the points of trisection of the line segment joining (4,–1) and (–2, –3)

Question

Find the coordinates of the points of trisection of the line segment joining (4,&#x2013;1) and (&#x2013;2, &#x2013;3)

Philoid · Accepted Answer

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, )