Question

The $x-axis$ divides the line joining the points $(5,7)$ and $(-1,3)$ in the ratio

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

Answer 1

The correct option is A $7:3$ internally

$\begin{array}{c}y=\frac{m{y}_2+n{y}_1}{m+n}\\ 0=\frac{7m+3n}{m+n}\\ 7m+3n=0\\ 7m=-3n\\ \frac{m}{n}=\frac{-3}{7}\\ \therefore m:n=3:7\end{array}$