Question

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 ______.

Options

• (2, 4)  

• (3, 5)    

• (4, 2)    

• (5, 3)          

Answer 1

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 (3, 5).

Explanation:

It is given that P divides the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1.

Using section formula, we get

Coordinates of P \[= \left( \frac{2 \times 4 + 1 \times 1}{2 + 1}, \frac{2 \times 6 + 1 \times 3}{2 + 1} \right) = \left( \frac{9}{3}, \frac{15}{3} \right) = \left( 3, 5 \right)\]

Thus, the coordinates of P are (3, 5).