Question

In what ratio does the point $(11,18)$ divide the line joining $(3,4)$ and $(7,11)$

Answer 1

Let the ratio be $k:1.$

Therefore, according to section formula :-

$X=mx2+nx1/m+n$

..using the formula...

Putting the values

$11=7k+3/k+1$

We get $k=-2$

This means that the ratio is divided externally in the ratio $2:\mathrm{1..}$

Thus $(11,18)$ is dividing $(3,4)$ and $(7,11)$ externally.