Quiz on Complex Numbers

Given the complex number z=-2+-3. Which of the following statements is true?

• Re (z) = 2

• Im (z) = -3

• Re (z) = -2

• Im (z) = 3

• z^2=1

• 2+-2

• -2

• -22

• -34

• 3-i

The general form of the complex number z=-8--162 is…

• z=-8-16i

• z=8+16i

• 4-8i

• -4+2i

• -4-2i

What is the value of Re(z^2) if z=5-2i?

• 25

• 5

• 4

• -2

• 21

Which of the following complex numbers has a real part of 0?

• 2+i

• 2--4

• -1+1

• -37

• 13-2+43

What is the value of Re(z^3) if z=5-2i?

• 45

• 50

• 60

• 65

• 75

Observe the following image. The complex number represented by the point in the Cartesian plane above is…

• -2+3i

• 2+3i

• -2-3i

• 2-3i

• -3+2i

If the complex number z=-4+2i is represented on the Cartesian plane, then its position will be in quadrant…

• First

• Second

• Third

• Fourth

• First and Second

What is the polar form of the complex number z=3+i?

• z=cos30°+isin30°

• z=2(cos30°+isin30°)

• z=2(cos30°+isin30°)

• z=2(cos60°+isin60°)

• z=2(sin30°+icos30°

The general form of z= 7-3i4+2i is…

• 1110+1310i

• 1310-1110i

• 1110-1310i

• 1310-1110i

• -1110-1310i