Question

The ratio in which $yz$-plane divides the line segment joining $(-3,4,2),(2,1,3)$ is

• A. $-4:1$
• B. $3:2$
• C. $-2:3$
• D. $1:4$

Answer 1

The correct option is B $3:2$

Let the plane divide the line in the ratio $p:1$.
A point that divides the line joining these $2$ points in the ratio $p:1$ is given by $(\frac{2p-3}{p+1},\frac{p+4}{p+1},\frac{3p+2}{p+1})$
Since, this point has to lie on the $zy$ plane, so

$2p-3=0$
$p=\frac{3}{2}$