Quiz 1 (Complex Numbers)

12 Questions | By Whitecorp | Updated: Mar 21, 2022 | Attempts: 766

Questions

Settings

This is a complex numbers quiz. There are altogether 12 questions; maximum recommended time limit for completion is 4 minutes (or 20 seconds per question). NO CALCULATORS SHALL BE USED. Peace. A WHITE GROUP MATHEMATICS CREATION (www. Whitegroupmaths. Com)

Questions and Answers

1.

Express in the form .
- A.
- B.
- C.
- D.
2.

For the equation where z denotes a variable complex number in Argand space, what is the radius of the circle represented by this loci?
- A.
  
  It is not a circle but a perpendicular bisector
- B.
  
  2 units
- C.
  
  units
- D.
  
  1 unit
3.

If what is
- A.
  
  Not possible to tell
- B.
  
  2cos
- C.
- D.
4.
- A.
  
  True
- B.
  
  False
5.

What is (2+i)(2-i)(3+i)(3-i) ?
- A.
  
  30
- B.
  
  40
- C.
- D.
  
  50
6.

If , what is the value of
- A.
  
  0
- B.
  
  1
- C.
  
  2
- D.
  
  6
7.

What is the value of
8.

If what is the value of
- A.
- B.
- C.
- D.
9.

The roots of this quadratic equation are where k is a positive integer. What is the value of k?
10.

The equation must have 3 pairs of complex conjugate roots.
- A.
  
  True
- B.
  
  False
11.
12.

, where a is an integer. What is the value of a?