Find the locus of a complex number \( z=x+i y \) satisfying the rel...

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Find the locus of a complex number \( z=x+i y \) satisfying the relation \( \left|\frac{z-2 i}{z+2 i}\right|=\sqrt{2} \).
Illustrate the locus of \( z \) in the Argand diagram.
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