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Question

If z=1+i3,|arg(z)|+arg(¯¯¯z)

A
π3
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B
2π3
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C
0
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D
π2
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Solution

The correct option is B 2π3
z=i+i3 ¯z=1i3
argz=π3 arg(¯z)=π3
|argz|+|arg(¯z)|=2π3.

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