Let $z$ satisfy $|z|=1, z=1-\bar{z}$ and $\operatorname{Im}(z)>0$
Statement $\mathbf{I} z$ is a real number
Statement II Principal argument of $z$ is $\frac{\pi}{3}$.
Then,
- A
Statement I is true, Statement II is true and Statement II is a correct explanation of Statement I
- B
Statement I is true, Statement II is true, but Statement II is not a correct explanation of Statement I
- C
Statement I is false, Statement II is true
- D
Statement I is true, Statement II is false
✓ Correct answer: C
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