Question

Find the ratio in which the line segment joining $(2,-3)$ and $(5,6)$ is divided by x-axis.

• A. $1:2$
• B. $3:1$
• C. $2:1$
• D. None of these

Answer 1

The correct option is A $1:2$

Let ratio be $m:n$ and the point lying on the x-axis that divides the line be $(x,0)$.

By section formula of internal division,

$\therefore (x=\frac{5m+2n}{m+n},y=\frac{6m-3n}{m+n})$

$\Rightarrow \frac{6m-3n}{m+n}=0$

$\Rightarrow \frac{m}{n}=\frac{1}{2}$