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Question
point p(5,-3) is one of the two pints of trisection of the line segment joining the points a(7,-2) & b(-1,5) near to a. find the coordinates of the other point of trisection
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Solution
A---------p----------Q------------B
let Q is the unknown point
because according to question
AP=PQ=QB
use the concept of section formula
where Q is the midpoint of P and B
so, Q={(5-1)/2, (-3+5)/2=(2,1)
If B = (1,-5)
then Q = (3,-4)
let Q is the unknown point
because according to question
AP=PQ=QB
use the concept of section formula
where Q is the midpoint of P and B
so, Q={(5-1)/2, (-3+5)/2=(2,1)
If B = (1,-5)
then Q = (3,-4)
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