Breaking News
Home / Complex Analysis MCQs / Complex Analysis mcqs with answers test 05

# 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 $f(z)=\frac{1}{z^2+1}$ at the pole z = i?
a) 0
b) -1
c) 1
d) i

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

3. Polar form of   $1-i\sqrt{3}$  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.   $\lim_{z\rightarrow&space;0&space;}&space;(\frac{z^2-1}{z-1})$  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

### One comment

1. Yes! Finally something about website.