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If $a > 0$ and $z | z | + a z + 3 i = 0,$

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purely imaginary

a positive real number

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Correct option is B

z=−3i|z|+a⇒z is purely imaginary

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If a>0 and z|z|+az+3i=0,

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If $a > 0$ and $z | z | + a z + 3 i = 0,$