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. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $\frac{4}{3}$
• D. $\frac{5}{3}$

Answer 1

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

Given points are $(1,-1,5)$ and $(2,3,4)$
Since $ZX$-plane divides the line segment joining $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)$ in the ratio $-y_1:y_2=1:3=p:1$
$\Rightarrow p=\frac{1}{3}$
Hence, $p+1=\frac{1}{3}+1=\frac{4}{3}$