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 [IIT 1979, 1987; EAMCET 1986; RPET 1997; MP PET 2001; AIEEE 2005]

If \[{{z}_{1}}\] and \[{{z}_{2}}\] are two non-zero complex number

1.	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 [IIT 1979, 1987; EAMCET 1986; RPET 1997; MP PET 2001; AIEEE 2005]
A.	\[-\pi \]
B.	\[-\frac{\pi }{2}\]
C.	\[\frac{\pi }{2}\]
D.	0
Answer» E.

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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 [IIT 1979, 1987; EAMCET 1986; RPET 1997; MP PET 2001; AIEEE 2005]

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