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Complex Analysis mcqs with answers test 05

 

Complex Analysis mcqs with answers test 05

Complex Analysis mcqs consist of a lot of mcqs with answers. Prepare these mcqs for all kind of tests ie ppsc, fpsc,nts etc.

Complex Analysis mcqs with answers

Q.01

What is the residue of the function at the pole z = i?
a) 0
b) -1
c) 1
d) i

Answer
Explanation

The residue of a function f(z) at a simple pole z = a is given by Res}(f, a) = \lim_{z \to a}(z – a)f(z)\)$. In this case, the residue at $\(z = i\)$ is $\(\lim_{z \to i}(z – i)\frac{1}{z^2 + 1} = -i\frac{1}{2i} = -1\)$.

b) -1

A. Abelian group w.r.t +
B. Ring
C. Field
D. All of the above

2. If z = 3-4i then conjugate of z lies in

A. Quad-I
B. Quad-II
C. Quad-III
D. Quad-IV

Quad-IV

3. Polar form of     is

A. 2 ( cos60° – i sin60° )
B. 2 ( cos90° – i sin90° )
C. 2 ( cos45° + i sin45° )
D. 2 ( cos30° + i sin30° )

2 ( cos60° – i sin60° )

4.     is

A. 1
B. 2 
C. 3
D. 4

5.  If M= f(z) such that for given value of z, there corresponds more than one values of M then M is known as 

A. Relation
B. Single valued function
C. Multi valued function
D. Not a function

Multi valued function

6. 

Vector and tensor analysis mcqs with answers

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