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).