Q9 of 112 Page 146

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

Let P and Q are the points of the intersection of the line segment joining the points A and B.


Here, AP = PQ = QB



AP = 1 PQ = 1 QB = 1


Section Formula internally =


P divides line segment AB in the ratio 1:2


Where l = 1 and m = 2


A (2, –2) and B (–7, 4)


=


=


=


= (–1,0)


Q divides line segment AB in the ratio 2: 1


Where l = 2 and m = 1


A (2, –2) and B (–7, 4)


=


=


=


= (–4,2)


Therefore, the coordinates of point P (–1, 0) and Q (–4, 2)


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