Q. 10

Find the co-ordinates of the points of trisection of the line segment AB with A(2, 7) and B(-4, -8).

Answer :

let The points of trisection of a given line AB be P and Q

Then the ratio AP:PQ:QB = 1:1:1


Hence we get AP:PB = 1:2


And AQ:QB = 2:1


A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by


and


To find point P(x,y)



x = 0



y = 2


To find the point Q(x',y')



x' = -2



y' = -3


Hence point P = (0,2) and Q = (-2,-3)


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