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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(5, -2) and B(4, 6)` in the ratio 1 : 2 externally.

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Let ` A(x_(1), y_(1))=(5, -2)and B(x_(2), y_(2))=(4, 6 )`
`" "m:n =1:2`
Let `P(x, y)` be the point which divides the line segment AB in the ratio `m : n ` externally.
`therefore" "x=(1(4)-2(5))/(1-2)=6`
`" "y=(1(6)-2(-2))/(1-2)=-10`
`therefore` Co-ordinates of required point = (6, - 10)
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