The complex number $${\left( {\frac{{2 + {\text{i}}}}{{3 - {\text{i}}}}} \right)^2}$$   is

A. $$\frac{1}{2}\left( {\cos \frac{\pi }{4} + {\text{i}}\sin \frac{\pi }{4}} \right)$$

B. $$\frac{1}{2}\left( {\cos \frac{\pi }{2} + {\text{i}}\sin \frac{\pi }{2}} \right)$$

C. $$\frac{1}{2}\left( {\cos \pi + {\text{i}}\sin \pi } \right)$$

D. $$\frac{1}{2}\left( {\cos \frac{\pi }{6} + {\text{i}}\sin \frac{\pi }{6}} \right)$$

Answer: Option B