question_answer

If \[\left( a+i\,b \right)\,\,\left( c+i\,d \right)\,\,\left( e+i\,f \right)\,\,\left( g+i\,h \right)=A+i\,B,\] then \[({{a}^{2}}+{{b}^{2}})\,\,({{c}^{2}}+{{d}^{2}})\,\,({{e}^{2}}+{{f}^{2}})\,\,({{g}^{2}}+{{h}^{2}})=\]

A)  \[{{A}^{2}}+{{B}^{2}}\]    

B)  \[{{A}^{2}}-{{B}^{2}}\]

C)  \[{{A}^{2}}\]                        

D)  \[{{B}^{2}}\]

E)  None of these