Q13 of 157 Page 760

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).

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