Q6 of 184 Page 10

The coordinates of two points A and B are (-1,4) and (5,1) respectively. Find the coordinates of the point P which lies on extended line AB such that it is three times as far from B as from A.


Now, Let P(x,y) be the point which lies on extended line AB


Using the section formula for the external division, i.e.


…(i)


Here, m1 = 1, m2 = 3


(x1, y1) = (-1, 4) and (x2, y2) = (5, 1)


Putting the above values in the above formula, we get






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