Do they represent conic sections?

Algebra Level 4

{∣z+zˉ∣+∣z−zˉ∣=2∣iz−1∣+∣z−i∣=2\begin{cases} |z+\bar{z}|+|z-\bar{z}|=2 \\ |iz-1|+|z-i|=2\end{cases} Find the complex number zz which does not satisfy the above equations simultaneously.

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Sandeep Bhardwaj by Sandeep Bhardwaj
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