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GATE Mechanical 2021 Set 1 | Question: 27

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Let $\text{C}$ represent the unit circle centered at origin in the complex plane, and complex variable, $z=x+iy$. The value of the contour integral $\oint _{C}\dfrac{\cosh \:3z}{2z}\:dz$ (where integration is taken counter clockwise) is

  1. $0$
  2. $2$
  3. $\pi i$
  4. $2 \pi i$
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