Point `P(5,-3)` is one of the two points of trisection of the line segment joining the points `A(7,-2)a n dB(1,-5)` near to `A` . Find the coordinates of the other point of trisection.

Explanation

We know that the points of trisection divide the line
segment in ratio `2:1` and `1:2`

Therefore, the points of trisection of line segment AB are given by

Using the section formula,

`(x,y)=((mx_2​+nx_1)/(m+n)​​,(my_2​+ny_1)/(m+n)​​)`

`=((2×1+1×7)/3​,(2×−5+1×−2)/3​)` and `((1×1+2×7)/3​,(1×−5+2×−2)/3​)`


`=(9/3​,(−12)/3​) and ((15)/3​,(−9)/3​)`

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