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Find the co-ordinates of a point which d...

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.

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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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