Two complex numbers are conjugates of each other: find the unknowns

1. A.
   $-1$
2. B.
   0
3. C.
   1
4. D.
   2

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1. A.
   $\ x = n\pi,n \in \mathbb{Z}$
2. B.
   $\ x = \left( n + \frac{1}{2} \right)\pi,n \in \mathbb{Z}$
3. C.
   $x = (3n - 1)\pi,n \in \mathbb{Z}$
4. D.
   No value of $x$

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