Three Dimensional Geometry Question 186

Question: The angle between the line $ \frac{x-1}{2}= $ $ \frac{y-2}{1}=\frac{z+3}{-2} $ and the plane $ x+y+4=0 $ , is

[MP PET 1999]

Options:

A) $ 0{}^\circ $

B) $ 30{}^\circ $

C) $ 45{}^\circ $

D) $ 90{}^\circ $

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Answer:

Correct Answer: C

Solution:

$ \sin \theta =\frac{2+1}{\sqrt{2}\times \sqrt{9}}\Rightarrow \theta =45^{o} $ .