If two complex numbers \( z_{1}, z_{2} \) are such that \( \left|z_{1}\right|=\left|z_{2}\right|...

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If two complex numbers \( z_{1}, z_{2} \) are such that \( \left|z_{1}\right|=\left|z_{2}\right| \), is it then necessary that \( z_{1}=z_{2} \)
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