If `z_1, z_2, z_3, z_4` are the affixes of four point in the Argand plane, `z` is the affix of ...

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are the affixes of four point in the Argand plane, `z`
is the affix of a point such that `|z-z_1|=|z-z_2|=|z-z_3|=|z-z_4|`
, then prove that `z_1, z_2, z_3, z_4`
are concyclic.
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