Question

If the $zx-$plane divides the line segment joining $(1,-1,5)$ and $(2,3,4)$ in the ratio $p:1$, then $p+1=$

• A. $\frac{1}{2}$
• B. $\frac{3}{2}$
• C. $\frac{4}{3}$
• D. $\frac{1}{3}$

Answer 1

The correct option is C $\frac{4}{3}$

Given : $zx-$plane divides the line segment joining $(1,-1,5)$ and $(2,3,4)$ in the ratio $p:1$
$\Rightarrow$ Coordinates of $y=0$
$\Rightarrow 0=\frac{3p-1}{p+1}$
$\Rightarrow p=\frac{1}{3}$
$\therefore p+1=\frac{4}{3}$