The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2: 1 is


If P(x, y) is the dividing point of the line joining AB then By Section Formula we have,


and y


where m and n is the ratio in which the point C divides the line AB


Finding the x-coordinate of P:




x = 3


Finding the y-coordinate of P:




y = 5


Therefore the coordinates of P is (3,5).

13
1