Question

find the co-ordinates of the points which divides the line segment joining A(2,-3) and B(-4,-6) into 3 equal parts​

Answer 1

Answer:

First ratio 1:2

By section formula

x=mx2+nx1/m+n ,y=my2+ny1/m+n

x=1(-4)+2(2)/1+2 ,y=1(-6)+2(-3)/3

x=-4+4/3 , y=-6-6/3

x=0/3, y=-12/3

P(0,-4)

Second ratio,

2:1

By section formula,

x=2(-4)+1(2)/2+1 ,y=2(-6)+1(-3)/3

x=-8+2/3 ,y=-12-3/3

x=-6/3 ,y=-15/3

Q(-2,-5)

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