A) \[\frac{1}{2}\]
B) \[\frac{3}{2}\]
C) \[\frac{1}{3}\]
D) \[\frac{3}{4}\]
Correct Answer: B
Solution :
\[m\,\tan \,30{}^\circ \cot \,60{}^\circ =\sin \,45{}^\circ \cos \,45{}^\circ \] \[m\times \frac{1}{\sqrt{3}}\times \frac{1}{\sqrt{3}}=\frac{1}{\sqrt{2}}\times \frac{1}{\sqrt{2}}\] \[\frac{m}{3}=\frac{1}{2}\] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,m=\frac{3}{2}\]
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