Quiz 1 (Complex Numbers)

12 Questions
Quiz 1 (complex Numbers)

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)

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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?