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 line joining points $(-3,4,2),(2,1,3)$ cut $YZ$ plane at $(0,y,z)$ and divides the segment in $\lambda :1$
Using Section formula
$\Rightarrow 0=\frac{m{x}_2+n{x}_1}{m+n}$
$\Rightarrow 0=\frac{2\lambda -3}{\lambda +1}\Rightarrow \lambda =\frac{3}{2}=3:2$
Required ratio: $3:2$