A) \[-4\]
B) \[4\]
C) \[1\]
D) \[2\]
Correct Answer: B
Solution :
Let \[\tan {{\theta }_{1}},\,\,\tan {{\theta }_{2}}\] be the roots of the\[2{{\tan }^{2}}\theta -4\tan \theta +1=0\] equation. Thus \[\tan {{\theta }_{1}}+\tan {{\theta }_{2}}=4/2=2;\,\,\tan {{\theta }_{1}}\tan {{\theta }_{2}}=1/2\]. Now\[\tan ({{\theta }_{1}}+{{\theta }_{2}})=[(\tan {{\theta }_{1}}+\tan {{\theta }_{2}})/(1-\tan {{\theta }_{1}}\tan {{\theta }_{2}})]\]\[=2/[1-(1/2)]=4\].You need to login to perform this action.
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