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Question

For any integer n, the argument of z=(3+i)4n+1(1i3)4n is

A
π6
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B
π3
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C
π2
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D
2π3
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Solution

The correct option is A π6
z=(3+i)4n+1(1i3)4n=i4n(3+i)4n+1(i+3)4n=3+i
arg(z)=π6

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