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[" Point P divides the line segment joining the point "A(2,1)" and "B(5,-8)],[" such that "(AP)/(AB)=(1)/(3)," if "P" lies on the line "2x-y+k=0" fine the value of "K" ."]

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Point P divides the line segment joining the points A(2,1) and B(5,-8) such that (AP)/(AB)=(1)/(3). If P lies on the line 2x-y+k=0, find the value of k .

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