Question

Find the ratio in which the $x$-axis divides the line segment joining the points $(3,-6)$ and $(5,3)$.

• A. $2:1$
• B. $1:2$
• C. $1:1$
• D. none

Answer 1

Answer: (A)

$2:1$

x-axis divides the line segment joining the points $(3,-6)$ and $(5,3)$

Let the required ratio be $m:n$

$\frac{m{y}_2+n{y}_1}{m+n}=0=>3m-6n=0=>3m=6n=>\frac{m}{n}=\frac{2}{1}$

Ratio $=2:1$