Question

Point P(5, −3) is one of the two points of trisection of the line segment joining the points A (7, −2) and B (1, − 5) near to A. Find the coordinates of the other point of trisection.

Answer 1

We are given a line segment joining points A (7, −2) and B (1, −5)

P (5, −3) is one of the two points of trisection of line segment AB

P is near to A

We are to find the coordinates of other points of trisection

Let the other point of trisection is Q

Therefore

AP = PQ = QB

That is Q is the mid point of line segment PB

We know that the coordinates of mid point of line segment with coordinates of end points