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If a is a positive integer, z = a +2i an...

If `a` is a positive integer, `z = a +2i` and `z|z| - az +1=0` then

A

z is always a positive real number

B

z is always a negative real number

C

z is purely imaginary number

D

such a complex z does not exist.

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The correct Answer is:
D
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