Question

In what ratio is the line segment joining the points \(\mathrm{P}(-4, 2)\) and \(\mathrm{Q}(8, 3)\) divided by y-axis?

Options

• 1 : 3

• 3 : 1

• 1 : 2

• 2 : 1

Answer 1

1 : 2

Explanation:

The division point on the y-axis has x = 0:

$$\frac{m(8) + n(-4)}{m + n} = 0$$

$$\Rightarrow 8m = 4n$$

$$\Rightarrow m:n = 1:2$$

Hence the ratio is 1 : 2.