If a point `P` lies on the line segment joining points `A(-3, 4) and B – InterviewSolution

InterviewSolution

1.	If a point `P` lies on the line segment joining points `A(-3, 4) and B(-2, -6)` such that `" "2AP=3BP` then, find the co-ordinates of point P.
Answer» Given that, `" "2AP=3BP` ` rArr" " (AP)/(BP)=(3)/(2)` `rArr" "m:n=3:2` `" "(x_(1), y_(2))=(-3, 4) and (x_(2),y_(2))=(-2, -6)` Now, let the co-ordinates of point P are `(x, y)` ` therefore" "x=(3(-2)+2(-3 ))/(3+2)=(-12)/(5)` `and " " y=(3(-6)+2(4))/( 3+2)=-2` `therefore` Co-ordinates of point ` P =((-12)/(5),-2)`

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