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Question

The point (19,-23) divides the line joining points J(4, -5), L(-6, 7)in ratio = 3:5.
If true then enter 1 and if false then enter 0

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Solution

LetthecoordinatesofthepointPbeP(x,y)whichdividesthelinesegmentJLjoiningthepointsJ(x1,y1)=(4,5)&L(x2,y2)=(6,7)intheratiom:n=3:5.Then,bythesectionformula,x=nx1mx2nm=5×43×(6)53=19andy=ny1my2nm=5×(5)3×753=23P(x,y)=P(19,23).AnsP(x,y)=P(67,2).

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