The coordinates of point which divides the line segment joining points A(0,0)  and  B(9,12)  in the ratio 1:2 are

Since P divides the line segment joining points A(0,0)  and B(9,12)  internally in 1:2 ratio ∴   x=9×1+0×23=93=3 y=12×1+2×03=123=4 ∴  The coordinates of point P are (3,4) .