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Q.

Let z, w be two complex numbers such that z¯ +iw¯ =0    and  arg(zw)=π, then argz equal

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a

3π4

b

π2

c

π4

d

5π4

answer is A.

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Detailed Solution

z¯ +iw¯ =0    ⇒ z-iw=0Now,  arg(zw)=π  ⇒ argz2i=π⇒    2arg(z)-arg(i)=π⇒    2arg(z)=π+π2=3π2⇒  arg(z)=3π4
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