Let a = Im((1+z^(2))/(2iz)), where z is ...

Let `a = Im((1+z^(2))/(2iz))`, where z is any non-zero complex number. Then the set `A = {a : |z| = 1 and z ne +- 1}` is equal to

A

`(-1,1)`

B

`[-1,1]`

C

`[0,1)`

D

`(-1,0]`

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The correct Answer is:

A

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