A) \[N{{i}^{2+}}\]
B) \[C{{d}^{2+}}\]
C) \[C{{a}^{2+}}\]
D) none of these
Correct Answer: C
Solution :
\[\frac{3+2i\sin \theta }{1-2i\sin \theta }\]will be purely imaginary, if the real part vanishes, i.e., \[\frac{3-4{{\sin }^{2}}\theta }{1+4{{\sin }^{2}}\theta }=0\] \[\Rightarrow \] \[3-4{{\sin }^{2}}\theta =0\] \[\Rightarrow \] \[\sin \theta =\pm \frac{\sqrt{3}}{2}\] \[=\sin \left( \pm \frac{\pi }{3} \right)\] \[\Rightarrow \]\[\theta =n\pi +{{(-1)}^{n}}\left( \pm \frac{\pi }{3} \right)=n\pi \pm \frac{\pi }{3}\]
You need to login to perform this action.
You will be redirected in
3 sec
