Question

Find the points of trisection of the line segment joining the points :

(i) (5, -6) and (-7, 5), (ii) (3, -2) and (-3, -4), (iii) (2, -2) and (-7, 4).

Answer 1

Point of trisection divides the line in the ratio of either 1:2 or 2 :1
Point dividing a line in the ratio 1:m formed by joining $x_1$ $y_1$ and $x_2$ $y_2$
x = y =

Point dividing a line in the ratio m:1 formed by joining (x,y) and (x, y)
x = y =


(i) (5,-6) and (-7,5)

x = or
y = or


(ii) (3,-2) and (-3,-4)

x = or
y = or

(iii) (2,-2) and (-7,4)

x = or
y = or