Question

The ratio in which $xy-$plane divides the line joining the points $(1,0,-3)$ and $(1,-5,7)$ is given by

• A. $7:3$
• B. $3:7$
• C. $3:4$
• D. $4:7$

Answer 1

Answer: (B)

$3:7$

Let $xy-plane$ divide the line joining the given points in the ratio $k:1$ and the point of intersection is $x,y,0$

then,

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

$7k-3=0$

$k=\frac{3}{7}$

Therefore,

The ratio is $3:7$