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$z$ and $ω$ are two non zero complex numbers such that $| z | = | ω |$ and $A r g z + A r g ω = π$ then $z$ equals

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Correct option is B

Let |z|=|ω|=r ∴z=reiθ,ω=reiϕ , where θ+ϕ=π ( ∵ω¯=re−iϕ) ∴z=rei(π−ϕ)=reiπ.e−iϕ=−re−iϕ=−ω¯

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z and ω are two non zero complex numbers such that |z|=|ω| and Arg z+Arg ω=π then z equals

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$z$ and $ω$ are two non zero complex numbers such that $| z | = | ω |$ and $A r g z + A r g ω = π$ then $z$ equals