Let `z and w` are two non zero complex number such that `|z|=|w|, and Arg(z)+Arg(w)=pi` then (a) `z=w` (b) `z=overlinew` (c) `overlinez=overlinew` (d) `overlinez=-overlinew`A. wB. `-w`C. `bar w`D. `- bar w`

Let `z and w` are two non zero complex number such that `|z|=|w|, and

1.	Let `z and w` are two non zero complex number such that `\|z\|=\|w\|, and Arg(z)+Arg(w)=pi` then (a) `z=w` (b) `z=overlinew` (c) `overlinez=overlinew` (d) `overlinez=-overlinew`A. wB. `-w`C. `bar w`D. `- bar w`
Answer» Correct Answer - D Since \|z\|=\|w\| and arg (z)=`pi`-arg (w) Let `w=re^(I theta) , then bar w =re^(-ite)` `therefore z= re^i(pi - theta)= re ^(I pi).e^(-I theta)=-bar w`

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Let `z and w` are two non zero complex number such that `|z|=|w|, and Arg(z)+Arg(w)=pi` then (a) `z=w` (b) `z=overlinew` (c) `overlinez=overlinew` (d) `overlinez=-overlinew`A. wB. `-w`C. `bar w`D. `- bar w`

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