Question

The co-ordinate of the point dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 is ______.

Answer 1

The co-ordinate of the point dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 is (3, 5).

Explanation:

Let point P divides the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1.

Then, coordinates of P = `((2 xx 4 + 1 xx 1)/(2 + 1), (2 xx 6 + 1 xx 3)/(2 + 1))`   ...[By section formula]

= `((8 + 1)/3, (12 + 3)/3)`

= `(9/3, 15/3)`

= (3, 5)