If \( |z+1|+|z-3|=6 \) and \( |z|=|z-2| \), then find \( z \) ?
(a) \( 1 \pm \sqrt{5} i \)
(b) \...
If \( |z+1|+|z-3|=6 \) and \( |z|=|z-2| \), then find \( z \) ?
(a) \( 1 \pm \sqrt{5} i \)
(b) \( \sqrt{5} \pm i \)
(c) \( \sqrt{3} \pm i \)
(d) \( 1 \pm \sqrt{3} i \)
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