complex numbers - test
N.questionanswer
1 What is the modulus of Eqn1.gif?
2

4

3

3i
2 What is the argument of Eqn1.gif
π/2

π/3

π/4

π/6
3 What is the trigonometric form of Eqn1.gif?
Eqn5.gif

Eqn6.gif

Eqn7.gif

Eqn8.gif
4 What is the reciprocal of Eqn1.gif
Eqn10.gif

Eqn11.gif

Eqn12.gif

Eqn13.gif
5 Given Eqn1.gif and Eqn14.gif, their ratio z1/z2 is
1

2+i

Eqn16.gif

Eqn17.gif
6 Given Eqn1.gif, z16 is equal to
64

-64

6

4
7 Given Eqn1.gif and Eqn14.gif, what of the following statements is true?
z1>z2

z1=z2

z1<z2

none of them
8 What of the following numbers isn't a fourth root of 1?
1/4

1

-1

i
9 What is the modulus of e2i?
2

4

Eqn20.gif

1
10 Given Eqn1.gif and Eqn14.gif, their product is
2ei

4e2πi

8e4πi

1