Therefore, the coordinates of the points of trisection of the line segm Do THIS Find the trisectional points of linejoining (2.6) and (-4,8). Find the trisectional points of line joining (-3.-5) and (-6.-8)
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Step-by-step explanation:
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Answer:
(5,−3) and (3,4).
Step-by-step explanation:
Let A(7,−2) and B(1,−5) be the given points and P(x,y) and Q(x′,y′) are the points of trisection.
Step 1: Find the coordinate of P
Point P divides AB internally in the ratio 1:2
(x,y)=[1+21(1)+2(7),1+21(−5)+1(−2)]
=(31+14,3−5−4)=(315,3−9)=(5,−3)
Step 2: Find the coordinate of Q.
Point Q is the mid-point PB.
(x′,y′)=((5+1)/2,(−3−5)/2)=(3,−4)
Therefore, the coordinates of the points of trisection are (5,−3) and (3,4).
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