Question

The ratio in which the line joining the points $(3,4)$ and $(5,6)$ is divided by $x-$axis :

• A. $2:3$ externally
• B. $6:4$ externally
• C. $3:2$ externally
• D. none of these

Answer 1

The correct option is A $2:3$ externally

Let it divide in $k:1$ ratio
Then $0=\frac{6k+4}{k+1}\Rightarrow 6k=-4\Rightarrow k=-\frac{2}{3}$
Hence ratio is $-2:3$