Question

The ratio in which xy-plane divides the line segment joining $(2,4,5)$ and $(3,5,-4)$ is

• A. $5:4$
• B. $2:1$
• C. $1:3$
• D. $3:2$

Answer 1

Answer: (A)

$5:4$

Given points are $(2,4,5)$ and $(3,5,-4)$

Let the be p:1 and since xy-plane divides the line segment,z-coordinate will be $0$

the required z-coordinate will be $\frac{5-4p}{p+1}=0$

$p=\frac{5}{4}$

Ratio$=5:4$