Print Quiz: Complex and Imaginary numbers (mathematics)

1.

Which of the following transformations in the Complex plane is a translation?

A.

Z'=2*Z

B.

Z'=Z+(a,b)

C.

Z'=-Z

D.

Z'=Z*1(cos(a)+isen(a))

2.

Which of the following transformations in the Complex plane is a rotation?

A.

Z'=2*Z

B.

Z'=Z+(a,b)

C.

Z'=-Z

D.

Z'=Z*1(cos(a)+isen(a))

3.

Which of the following transformations in the Complex plane is a symmetry?

A.

Z'=2*Z

B.

Z'=Z+(a,b)

C.

Z'=-Z

D.

Z'=Z*1(cos(a)+isen(a)), ''a'' belongs (0, pi/2)

4.

How would you calculate: 1st a translation of a Complex number. After that, you have to calculate a rotation of the previous result?

A.

Z'=(Z+(a,b))*1(cos(c) + i sen(c))

B.

Z'=(-Z)+(a,b)

C.

Z'=Z*1(cos(c) + i sen(c))+(a,b)

D.

Z'=Z*3(cos(a)+isen(a))+3

5.

How would you calculate a rotatation of a Complex number if you had to scale its module at the same time?

A.

Z'=(Z+(a,b))*1(cos(c) + i sen(c))

B.

Z'=Z*b*(cos(a)+isen(a)); ''b=1''

C.

Z'=Z*1(cos(c) + i sen(c))+(a,b)

D.

Z'=Z*b*(cos(a)+isen(a)); ''b'' is different of 1

6.

Were mosaics popular in Ancient Rome?

A.

No, They weren't. They were popular in Ancient Mesopotamia

B.

Yes, They were. Besides, mosaics were also fashionable in Islamic world until the XIX century.

C.

No, They weren't. However, mosaics were quite fashionable in Islamic world until the XIX century.

D.

Yes, They were. In fact, mosaics were fashionable in many Ancient Civilization.