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Official PYQ · 2016

GATE EC 2016 Set 3 Q29 — Complex Analysis

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The values of the integral 12πj∮cez(z−2)dz\large\frac{1}{2\pi j}\oint_c\frac{e^z}{(z-2)} \small dz along a closed contour cc in anti-clockwise direction for

  1. the point z0=2z_0=2 inside the contour cc, and 
  2. the point z0=2z_0=2 outside the contour cc,

respectively,are

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Answer: B

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