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Let \( z_{1}, z_{2}, z_{3} \) be non-zero complex numbers satisfying the equation \( \mathrm{z}^{4}=\mathrm{iz} \).
Which of the following statement(s) is/are correct?
(1)
(A) The complex number having least positive argument is \( \left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right) \).
(B) \( \sum_{\mathrm{k}=1}^{3} \operatorname{Amp}\left(\mathrm{z}_{\mathrm{k}}\right)=\frac{\pi}{2} \)
(C) Centroid of the triangle formed by \( z_{1}, z_{2} \) and \( z_{3} \) is \( \left(\frac{1}{\sqrt{3}}, \frac{-1}{3}\right) \)
(D) Area of triangle formed by \( z_{1}, z_{2} \) and \( z_{3} \) is \( \frac{3 \sqrt{3}}{2} \)
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