Straight Line Question 118
Question: $ (\sin \theta ,\cos \theta ) $ and $ (3,2) $ lies on the same side of the line $ x+y=1 $ , then $ \theta $ lies between [DCE 2005]
Options:
A) $ (0,\pi /2) $
B) $ (0,\pi ) $
C) $ (\pi /4,\pi /2) $
D) $ (0,\pi /4) $
Correct Answer: D
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Answer:
Solution:
Þ $ \sqrt{2}\sin ( \theta +\frac{\pi }{4} )>1 $
Þ $ \sin ( \theta +\frac{\pi }{4} )>\frac{1}{\sqrt{2}}\Rightarrow 0<\theta <\frac{\pi }{4} $ .
BETA
