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Question

Let z,w be complex numbers such that ¯z+i¯w=0 and argzw=π. Then argz equals

A
π4
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B
π2
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C
3π4
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D
5π4
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Solution

The correct option is C 3π4
¯z+i¯w=0
ziw=0z=iw [1]
argzw=π
argz+argw=π
argz+argzi=π
2argzargi=π
2argzπ2=π
argz=3π4

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