Which of the following are correct for any two complex numbers \[{{z}_{1}}\] and \[{{z}_{2}}\] [Roorkee 1998]

\[|{{z}_{1}}{{z}_{2}}|\,=\,|{{z}_{1}}||{{z}_{2}}|\]

\[arg\,\,({{z}_{1}}{{z}_{2}})=(arg\,{{z}_{1}})(arg\,{{z}_{2}})\]

\[|{{z}_{1}}+{{z}_{2}}|\,=\,|{{z}_{1}}|+|{{z}_{2}}|\]

\[|{{z}_{1}}-{{z}_{2}}|\,\ge \,|{{z}_{1}}|-|{{z}_{2}}|\]

Which of the following are correct for any two complex numbers \[{{z}_

1.	Which of the following are correct for any two complex numbers \[{{z}_{1}}\] and \[{{z}_{2}}\] [Roorkee 1998]
A.	\[\|{{z}_{1}}{{z}_{2}}\|\,=\,\|{{z}_{1}}\|\|{{z}_{2}}\|\]
B.	\[arg\,\,({{z}_{1}}{{z}_{2}})=(arg\,{{z}_{1}})(arg\,{{z}_{2}})\]
C.	\[\|{{z}_{1}}+{{z}_{2}}\|\,=\,\|{{z}_{1}}\|+\|{{z}_{2}}\|\]
D.	\[\|{{z}_{1}}-{{z}_{2}}\|\,\ge \,\|{{z}_{1}}\|-\|{{z}_{2}}\|\]
Answer» E.

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Which of the following are correct for any two complex numbers \[{{z}_{1}}\] and \[{{z}_{2}}\] [Roorkee 1998]

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