A) \[|{{z}_{1}}+{{z}_{2}}|\ge |{{z}_{1}}|+|{{z}_{2}}|\]
B) \[|{{z}_{1}}+{{z}_{2}}|>|{{z}_{1}}|+|{{z}_{2}}|\]
C) \[|{{z}_{1}}+{{z}_{2}}|\le |{{z}_{1}}|+|{{z}_{2}}|\]
D) \[|{{z}_{1}}+{{z}_{2}}|=|{{z}_{1}}|+|{{z}_{2}}|\]
Correct Answer: C
Solution :
If\[{{z}_{1}}\]and\[{{z}_{2}}\]are complex numbers, then \[|{{z}_{1}}+{{z}_{2}}|\le |{{z}_{1}}|+|{{z}_{2}}|\] (triangular inequality)cYou need to login to perform this action.
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