Question

The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are ______.

Options

• (3, 3)

• (- 3, 3)

• (3, - 3)

• (- 3, - 3)

Answer 1

The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are (- 3, 3).

Explanation:

Since the line segment AB is trisected

∴ PB : BQ = 2 : 1

∴ Coordinate of B are = `((2(-6) + 1(3))/(2 + 1), (2(5) + 1(-1))/(2 + 1))`

`= ((- 12 + 3)/3, (10 - 1)/3)`

`= (- 9/3, 9/3)`

= (- 3, 3)