Question

Find the co-ordinates of the points of trisection of the line segment joining the points `A(-5, 6) and B (4, -3)`.

Answer 1

Let P and Q be the points of trisection of AB, then P divides AB in the ratio 1 : 2.
`therefore` Co-ordinates of point `P-=((-5xx2+4xx1)/(1+2), (6xx2+1xx-3)/(1+2))-=(-2,3)`
and point Q divides AB in the ratio 2 : 1.
`therefore` Co-ordinates of point `Q-=((-5xx1+4xx2)/(2+1),(6xx1+2xx-3)/(1+2))-=(1,0)`
`therefore` Co-ordinates of the point of trisection are (-2, 3) and (1, 0).