If $a$ is a complex number and $b$ is a real number, then the equation $\bar{a}+a+b=0$ represents $a$

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Aicharya · Accepted Answer

Let $a=x+i y$, then $\bar{a}=x-i y$ Thus, $\bar{a}+a+b=0$ $\begin{aligned} \Rightarrow & x-i y+x+i y+b & =0 \ \Rightarrow & 2 x+b & =0 \ \Rightarrow & x+\frac{b}{2} & =0\end{aligned}$ Which represent a straight line.

If $a$ is a complex number and $b$ is a real number, then the equation $\bar{a}+a+b=0$ represents $a$

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