Pair Of Straight Lines Question 64
Question: The angle between the lines represented by the equation $ (x^{2}+y^{2})\sin \theta +2xy=0 $ is
Options:
A) $ \theta $
B) $ \frac{\theta }{2} $
C) $ \frac{\pi }{2}-\theta $
D) $ \frac{\pi }{2}-\frac{\theta }{2} $
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Answer:
Correct Answer: C
Solution:
$ \theta ={{\tan }^{-1}}( \frac{2\sqrt{1-{{\sin }^{2}}\theta }}{2\sin \theta } )={{\tan }^{-1}}( \frac{\cos \theta }{\sin \theta } ) $
$ {{\tan }^{-1}}{ \tan ( \frac{\pi }{2}-\theta ) }=\frac{\pi }{2}-\theta $ .
BETA
