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The value of the contour integral $\displaystyle{}\oint_{\mid z-j \mid =2} \;\frac{1}{z^2+4} d z$ in positive sense is

  1. $\frac{j \pi}{2}$
  2. $-\frac{\pi}{2}$
  3. $-\frac{j \pi}{2}$
  4. $\frac{\pi}{2}$
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