Question

P(4,-5) and Q(5,8) are the endpoints of a line segment PQ. The ratio in which PQ is divided by the y-axis is

• A. 3:2
• B. 4:5 externally
• C. 4:5 Internally
• D. 5:8 externally

Answer 1

The correct option is B 4:5 externally

Let PQ intersects the y-axis at A Then the x-coordinate of A is 0
Let PA :AQ be m : 1 Then by Section Formula,

x-coordinate of $P=\frac{\left(m\right)\left(5\right)+\left(1\right)\left(4\right)}{m+1}$
or 5m +4 = 0 or $m=-\frac{4}{5}$
Since m is negative the division is external, the ratio being 4 :5