Question

The ratio in which the line segment PQ, where P (-5, 2) and Q (2, 3), is divided by the y-axis is

• A. $6:5$
• B. $3:5$
• C. $7:2$
• D. $5:2$

Answer 1

The correct option is D

$5:2$

All points on Y-axis can be expressed as (0, y) where y is the y-coordinate of the point.

Therefore, let the point of intersection of Y-axis and line PQ be R(0, y).

Let the ratio in which the line segment PQ is divided by point R be k:1.

Applying section formula, we get

$0=\frac{2k+1(-5)}{k+1}$

$2k-5=0$

$k=\frac{5}{2}$

$\therefore$ The required ratio is 5 : 2.