The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of one of the point of trisection are
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Here AP:PQ:QB=1:1:1
AP:PB = 1:2
Thus X1=1*-6+2*3/1+2
=-6+6/2=0/2=0
&y1=1*5+2*-1/1+2
=5-2/3=3/3=1
Therefore,now Q is the mid point of P(0,1)&B(-6,5)
Therefore, Q(X2,Y2)=(1*-6+2*0/1+2 , 1*5+2*1/1+2)
=(-6+2/3 , 5+2/3). = (-4/3 , 7/3
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