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Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is NOT TRUE?

A. The residue of $$\frac{{\text{z}}}{{{{\text{z}}^2} - 1}}$$  at z = 1 is $$\frac{1}{2}$$

B. $$\oint_{\text{c}} {{{\text{z}}^2}{\text{dz}} = 0} $$

C. $$\frac{1}{{2\pi {\text{i}}}}\oint_{\text{c}} {\frac{1}{{\text{z}}}\,{\text{dz}} = 1} $$

D. $$\overline {\text{z}} $$ (complex conjugate of z) is analytical function

Answer: Option D


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