If \( a0 \) and \( z|z|+a z+2 a=0 \) then \( z \) must be (a) purel...

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If \( a0 \) and \( z|z|+a z+2 a=0 \) then \( z \) must be
(a) purely imaginary
(b) a positive real number
(c) a negative real number
(d) 0
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