Let z and w be complex numbers such that over | vedclass

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(C) Given that $	ext{arg}(zw) = \pi$  $(i)$$\overline{z} + i\overline{w} = 0$ $\Rightarrow \overline{z} = -i\overline{w}$ $\Rightarrow z = i w$ $\Rig

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$3\pi / 4$

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(C) Given that $	ext{arg}(zw) = \pi$  $(i)$$\overline{z} + i\overline{w} = 0$ $\Rightarrow \overline{z} = -i\overline{w}$ $\Rightarrow z = i w$ $\Rightarrow w = -iz$Substitute $w = -iz$ into $(i)$:$	ext{arg}(z(-iz)) = \pi$$	ext{arg}(-iz^2) = \pi$$	ext{arg}(-i) + 	ext{arg}(z^2) = \pi$$	ext{arg}(-i) + 2	ext{arg}(z) = \pi$Since $	ext{arg}(-i) = -\pi / 2$,we have:$-\pi / 2 + 2	ext{arg}(z) = \pi$$2	ext{arg}(z) = 3\pi / 2$$	ext{arg}(z) = 3\pi / 4$

Let $z$ and $w$ be complex numbers such that $\overline{z} + i\overline{w} = 0$ and $\text{arg}(zw) = \pi$. Then $\text{arg}(z)$ equals

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