Question

The plane $x=0$ divides the joinning of $(-2,3,4)$ and $(1,-2,3)$ in the ratio :

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

Answer 1

The correct option is A $2:1$

R.E.F image

Given:

place : $x=0$ and two points $\to (-2,3,4)$ and $(1,-2,3)$

let say a point $(x,y,z)$ in $x=0$ place

So, $x=\frac{m+n(-2)}{m+n}=\frac{m-2n}{m+n}$

$0=\frac{m-2n}{m+n}\Rightarrow m=2n$

So, $\frac{m}{n}=\frac{2}{1}\Rightarrow 2:1$ option -A