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Question

If z is a complex number of unit modulus and argument θ, then arg(1+z1+¯z) is equal to

A
θ
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B
π2θ
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C
θ
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D
πθ
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Solution

The correct option is C θ
Given, |z1|=1, arg z=θz=eiθ
But ¯¯¯z=1z arg(1+z1+1z)=arg(z)=θ

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