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Question

Let z1andz2be two complex numbers with alpha and beta as their principal arguments such that α+β>π, then principal arg(z1z2) is given by


A

α+β+π

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B

α+β-π

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C

α+β-2π

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D

α+β

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Solution

The correct option is C

α+β-2π


Explanation for correct option:

The given information are as follows:

argz1=αargz2=βα+β>π

Use the concept of the argument of a complex number:

-π<argzπarg(z1z2)=argz1+argz2=α+β-2π

Hence, the principal argument is α+β-2π

Therefore option (C) is the correct answer.


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