Let \[{{z}_{1}},{{z}_{2}}\] be two complex numbers such that \[{{z}_{1}}+{{z}_{2}}\] and \[{{z}_{1}}{{z}_{2}}\] both are real, then [RPET 1996]

Let \[{{z}_{1}},{{z}_{2}}\] be two complex numbers such that \[{{z}_

1.	Let \[{{z}_{1}},{{z}_{2}}\] be two complex numbers such that \[{{z}_{1}}+{{z}_{2}}\] and \[{{z}_{1}}{{z}_{2}}\] both are real, then [RPET 1996]
A.	\[{{z}_{1}}=-{{z}_{2}}\]
B.	\[{{z}_{1}}={{\bar{z}}_{2}}\]
C.	\[{{z}_{1}}=-{{\bar{z}}_{2}}\]
D.	\[{{z}_{1}}={{z}_{2}}\]
Answer» C. \[{{z}_{1}}=-{{\bar{z}}_{2}}\]

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Let \[{{z}_{1}},{{z}_{2}}\] be two complex numbers such that \[{{z}_{1}}+{{z}_{2}}\] and \[{{z}_{1}}{{z}_{2}}\] both are real, then [RPET 1996]

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