Question

$XOZ$ plane divides the join of $(2,3,1)$ and $(6,7,1)$ in the ratio

• A. $3:7$
• B. $2:7$
• C. $-3:7$
• D. $-2:7$

Answer 1

Answer: (C)

$-3:7$

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, $(\frac{6p+2}{p+1},\frac{7p+3}{p+1},\frac{p+1}{p+1})$
Since, this point has to lie on the $zx$ plane, so

$7p+3=0$
$\frac{p}{1}=$ $\frac{-3}{7}$