Question

The point which divides the line segment joining the points A(3, –2) and B(6, 7) internally in the ratio 3 : 2 lies in which of the following quadrants?

Options

• I

• II

• III

• IV

Answer 1

I

Explanation:

Using the section formula:

$$x = \frac{3 \times 6 + 2 \times 3}{5} = \frac{24}{5} > 0$$

$$y = \frac{3 \times 7 + 2 \times (-2)}{5} = \frac{17}{5} > 0$$

Both coordinates are positive, so the point lies in Quadrant I.