question_answer

If \[{{z}_{1}}\] and \[{{z}_{2}}\] are two non-zero complex numbers such that \[|{{z}_{1}}+{{z}_{2}}|\,=\,|{{z}_{1}}|+|{{z}_{2}}|,\] then \[arg\,\,({{z}_{1}})-\,\arg \,\,({{z}_{2}})\] is equal to

A)  \[-\pi \]                         

B)  \[-\frac{\pi }{2}\]

C) \[0\]     

D)  \[\frac{\pi }{2}\]

E)  None of these