Three Dimensional Geometry Question 152

Question: If the planes $ x+2y+kz=0 $ and $ 2x+y-2z=0 $ are at right angles, then the value of k is

[MP PET 1999]

Options:

A) $ -\frac{1}{2} $

B) $ \frac{1}{2} $

C) ? 2

D) 2

Show Answer

Answer:

Correct Answer: D

Solution:

Obviously, $ ,2,(1)+1,(2)-2,(k)=0\Rightarrow k=2 $ .