Question

The coordinates of the point on x-axis which divides the line segment joining the points (2, 3) and (5, – 6) in the ratio 1 : 2 are ______.

Options

• (2, 0)

• (–2, 0)

• (3, 0)

• (–3,0)

Answer 1

The coordinates of the point on x-axis which divides the line segment joining the points (2, 3) and (5, – 6) in the ratio 1 : 2 are (3, 0).

Explanation:

With \(m = 1, n = 2\): 

$$x = \frac{1 \times 5 + 2 \times 2}{3} = 3$$

$$y = \frac{1 \times (-6) + 2 \times 3}{3} = 0$$ 

The point lies on the x-axis at (3, 0).