Question

MATHEMATICS | STANDARD X
Question ID #point-trisection-coordinates-find-joining-line
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

Solution

A---------p----------Q------------B
let Q is the unknown point
because according to question

AP=PQ=QB
Why AP=PQ=QB

Answer 1

trisection means dividing something into three equal parts. here trisection means dividing the line into three equal parts.
so AP=PQ=QB
on observing the figure we can understand that the unknown point Q is also the midpoint of P and B
thus the cordinates of the points are( (5+-1)/2,(-3+5)/2)=(2,1)