Question

xy plane divides the line joining the points $(2,4,5)$and$(-4,3,-2)$ in the ratio

• A. 3:5
• B. 5:2
• C. 1:3
• D. 3:4

Answer 1

The correct option is B

5:2

Given points are $A(2,4,5)$ and $B(-4,3,-2)$ Let xy plane divides the

line joining the points in the ratio of k:1

For x-y plane, z-coordinate must be zero

$\frac{k(-2)+1\left(5\right)}{k+1}=0$

$-2k+5=0$

$2k=5$

$k=\frac{5}{2}$

So,xy plane divides the joining the points (2,4,5)

and (-4,3,-1) in the ratio of 5:2