Question

The point P which divides the line segment joining the points A(2, –5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant

Options

• I

• II

• III

• IV

Answer 1

IV

Explanation:

Using the section formula for AP : PB = 2 : 3 with A(2, –5) and B(5, 2).

`x = (3 xx 2 + 2 xx 5)/5 = 16/5`.

`y = (3 xx (-5) + 2 xx 2)/5 = (-11)/5`. 

So, `P = (16/5, (-11)/5)` has x > 0 and y < 0.

Therefore, it lies in quadrant IV.