Question

Find the coordinates of the points of trisection of the line segment joining the points 𝑨(𝟐, −𝟐) and 𝑩(−𝟕, 𝟒).

Answer 1

• Let P and Q be the points of trisection of AB.

$AP=PQ=QB$

• P divides AB internally in the ratio 1:2.
• The coordinates of P can be found out using the section formula.

• Taking m as 2 and n as 1 in this case, we have:

• So,the coordinates of Q are

Q (a, b)=

• Therefore, the coordinates of the points of trisection of the line segment are P(-1, 0) and Q(-4, 2).