If \( \left|\frac{z-2}{z+2}\right|=\frac{\pi}{6} \), then the locus of \( z \) is

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If \( |z+2|=|z-2| \), then the locus of \( z \) is. If \( |z+2|=|z-2| \), then the locus of \( z \) is.
The `z^2 + z|z| + |z|^2 = 0`, then locus of Z is The `z^2 + z|z| + |z|^2 = 0`, then locus of Z is
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