A) \[\sqrt{2}/2\]
B) \[-\sqrt{2}/2\]
C) 2
D) -2
Correct Answer: C
Solution :
\[m=\tan 2\theta ,m\ne 0\Rightarrow \theta \ne 0\] \[\tan 2\theta =4\tan \theta \] \[\Rightarrow \]\[\frac{2\tan \theta }{1-{{\tan }^{2}}\theta }=4\tan \theta \Rightarrow {{\tan }^{2}}\theta =\frac{1}{2}\] \[\Rightarrow \]\[mn=\tan 2\theta .\tan \theta =\frac{2{{\tan }^{2}}\theta }{1-{{\tan }^{2}}\theta }=2\]You need to login to perform this action.
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