Practice Preliminaries - CSIR-UGC NET Offered by Unacademy

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Preliminaries

Quick practice

Question 1 of 5

Let $\int_{c}\left[\frac{1}{(z-2)^{4}}-\frac{(a-2)^{2}}{z}+4\right] d z=4 \pi$ where the closed curve C is the triangle having vertices at $i,\left(\frac{-1-i}{\sqrt{2}}\right)$ and $\left(\frac{1-i}{\sqrt{2}}\right)$ the integral being taken in anti clockwise direction. Then one value of a is

A

3+i

B

4+i

C

1+i

D

2+i