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0B2 Week 3 MCQ Quiz

Total questions: 7

Worksheet time: 3mins

Name
Class
Date
1.

What complex number is this the argand diagram of?

a)

-2-4i

b)

-2+4i

c)

-4-2i

d)

-4+2i

2.

What is the range for the principle argument of complex number z.

a)

0≤ arg⁡(z)<2π 0\le\ \arg\left(z\right)<2\pi\

b)

− π ≤ arg⁡(z)<π -\ \pi\ \le\ \arg\left(z\right)<\pi\

c)

0< arg⁡(z)≤ 2π 0<\ \arg\left(z\right)\le\ 2\pi\

d)

−π < arg⁡(z)≤ π -\pi\ <\ \arg\left(z\right)\le\ \pi\

3.

Is the following statement true or false?:


The complex number represented by this Argand diagram has a negative principal argument.

a)

True

b)

False

4.

Given a complex number z=a+biz=a+bi with arg⁡ (z)=φ \arg\ \left(z\right)=\varphi\ , which of the following are true (and hence, can be used to compute φ \varphi\ )?

a)

a

b)

b

c)

c

d)

d

5.

Calculate the modulus ∣z∣\left|z\right| of z=−3−6i.z=-3-6i.

a)

a

b)

b

c)

c

d)

d

6.

Suppose that u and v are complex numbers such that ar(u)=3.1 and arg(v)=0.5. What is arg(uv)

a)

a

b)

b

c)

c

d)

d

7.

Is the following statement true or false?

"Given a a complex number z=a+biz=a+bi , eaebie^ae^{bi} is the exponential form of z."

a)

True

b)

False