question_answer

If \[{{3}^{49}}(x+iy)={{\left( \frac{3}{2}+\frac{\sqrt{3}}{2}i \right)}^{100}}\]and \[x=my,\] then the value of m is _________.

A)  \[\frac{-3}{2}\]                        

B)  \[\frac{-1}{\sqrt{3}}\]

C)  \[\frac{3}{2}\]                         

D)  \[\frac{1}{\sqrt{3}}\]

E)  None of these