Question

The ratio in which the point $P(\frac{-2}{5},6)$ divides the line joining $A(-4,3)$ and $B(2,8)$ is:

• A. $2:3$
• B. $1:3$
• C. $3:2$
• D. $3:1$

Answer 1

The correct option is C $3:2$

Using Section Formula,

Let the ratio is $k:1$
$\Rightarrow \frac{-2}{5}=\frac{2k-4}{k+1}$
$\Rightarrow -2k-2=10k-20$
$\Rightarrow -12k=-18$

$\Rightarrow k=\frac{18}{12}=\frac{3}{2}$
So the ratio is $3:2$