Question

The ratio in which yz- plane divides the segment joining the points (-2, 4, 7) and (3, -5, 8) is

• A. 2 : 3
• B. 3 : 2
• C. 4 : 5
• D. -7 : 8

Answer 1

The correct option is A 2 : 3

let YZ-plane divide the segment joining (-2, 4, 7) and (3, -5, 8) in the ratio $\lambda :1$. Then $\Rightarrow \frac{3\lambda -2}{\lambda +1}=0\Rightarrow \lambda =\frac{2}{3}$ and the required ratio is 2 : 3