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A triangle DeltaABC having side length |...

A triangle `DeltaABC` having side length `|z_1|,|z_2|, |z_3|` is such that `|z-1|(|z_1|-|z_2|)+|z_2|(|z_2|-|z_3|)+|z_3|(|z_3|-|z_1)=0`. Then which of the following can be a possiblepair of values of `(|z_1|, R) (R =` circum-radius of `DeltaABC)`

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