A) \[{{\tan }^{-1}}\left( \frac{a}{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}} \right)\]
B) \[{{\tan }^{-1}}\left( \frac{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}}{a} \right)\]
C) \[2{{\tan }^{-1}}\left( \frac{a}{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}} \right)\]
D) None of these
Correct Answer: C
Solution :
\[\tan \frac{\theta }{2}=\frac{C{{T}_{1}}}{P{{T}_{1}}}=\frac{a}{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}}\] \[\frac{\theta }{2}={{\tan }^{-1}}\frac{a}{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}}\Rightarrow \theta =2{{\tan }^{-1}}\frac{a}{\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}-{{a}^{2}}}}\].You need to login to perform this action.
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