Find the co-ordinates of a point which divides the line joining the po – InterviewSolution

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1.	Find the co-ordinates of a point which divides the line joining the points `A(3, 4) and B(-2, -1)` in the ratio 3 : 2 externally.
Answer» Let `A(x_(1), y_(1))=(3, 4) and B(x_(2), y_(2))= (-2, -1)` `" "m:n=3:2` Let ` P(x, y)` be the point which divides the line segment AB in the ratio `m : n` externally. `therefore " "x=(3(-2)-2(3))/(3-2)=-12` ` and" "y=(3(-1)-2(4))/(3-2)=-11` `therefore` Co-ordinates of required point = (-12, -11)

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