Question

find the coordinates of the points which divide the line segment joining p{2,-3] and q{-4,-6}in to three parts

Answer 1

Here, the line segment is divided into 3 equal parts means trisection.

This can be done by finding two points P and Q on the line segment AB , AP = PQ= QB.

Let AP = PQ= QB = X

AP = X & PB = PQ +QB = x +x = 2x

AP : PB = x : 2x = 1:2

AQ=AP + PQ = x + x = 2x & QB =X

AQ : QB = 2x : x = 2 :1

Hence,P divides the line segment AB in the ratio 1:2 & Q divide the line segment AB in the ratio 1:2 & Q divide the line segment AB in the ratio 2:1.

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