Question

The ratio in which the line joining (2, 4, 5), (3, 5, – 4) is divided by the yz-plane is :

• A. 2 : 3
• B. 3 : 2
• C. – 2 : 3
• D. 4 : – 3

Answer 1

The correct option is C – 2 : 3

Let the required ratio be $\lambda =1$
Then the point is $(\frac{3\lambda +2}{\lambda +1},\frac{5\lambda +4}{\lambda +1},\frac{-4\lambda +5}{\lambda })$
It lies on yz-plane, so its x-co-ordinate = 0
i,e.,$\lambda =\frac{-2}{3}$ $\therefore$ Ratio is $\frac{-2}{3}$