A) \[\tan \frac{\theta }{2}=2\]
B) \[\tan \frac{\theta }{2}=\sqrt{2}\]
C) \[\tan \frac{\theta }{2}=\frac{1}{20}\]
D) \[\tan \frac{\theta }{2}=10\]
Correct Answer: A
Solution :
\[(20,20)\]lies on\[\frac{x(20\cos \theta )}{400}+\frac{y(10\sin \theta )}{100}=1\] \[\cos \theta +2\sin \theta =1\Rightarrow \sin \theta =\frac{1-\cos \theta }{2}\] \[\Rightarrow \tan \frac{\theta }{2}=2\]Ans.You need to login to perform this action.
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