Three Dimensional Geometry Question 250

Question: The angle between the planes $ 3x-4y+5z=0 $ and $ 2x-y-2z=5 $ is

[MP PET 1988]

Options:

A) $ \frac{\pi }{3} $

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

C) $ \frac{\pi }{6} $

D) None of these

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Answer:

Correct Answer: B

Solution:

$ \theta ={{\cos }^{-1}}[ \frac{6+4-10}{\sqrt{50}\sqrt{9}} ]={{\cos }^{-1}}(0)=\frac{\pi }{2} $ .