(i) write down the co-ordinates of the point P that divides the line joining A(-4, 1) and B(17, 10) in the ratio 1 : 2.
(ii) Calculate the distance OP, where O is the origin.
(iii) In what ratio does the Y-axis divide the line AB?
(i) Co-ordinates of point P are
(iii) Let AB be divided by the point P(0, y) lying on y-axis in the ratio
Thus, the ratio in which the y-axis divide the line AB is 4: 17.
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