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Let $z, w$ be two complex numbers such that $\bar{z} + i \bar{w} = 0$ and $a r g (z w) = π,$ then $a r g z$ equal

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Correct option is A

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

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Let $z, w$ be two complex numbers such that $\bar{z} + i \bar{w} = 0$ and $a r g (z w) = π,$ then $a r g z$ equal