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Complex Conjugates (Grades 11-12)

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Complex Conjugates

1. 
The complex conjugate of [math]-14+105i[/math] is [math]14-105i[/math].
  1. True
  2. False
2. 
What is the conjugate of [math]-4-3i[/math]?
  1. [math]4+3i[/math]
  2. [math]-4+3i[/math]
  3. [math]-4-3i[/math]
3. 
What is the complex conjugate of [math]-7+15i?[/math]
  1. [math]-7-15i[/math]
  2. [math]-7+15i[/math]
  3. [math]7-15i[/math]
  4. [math]7+15i[/math]
4. 
What is the complex conjugate of [math]20-6i[/math]?
  1. [math]20-6i[/math]
  2. [math]-20+6i[/math]
  3. [math]20+6i[/math]
  4. [math]-20-6i[/math]
5. 
What is the complex conjugate of [math]-250+81i[/math] ?
  1. [math]-250-81i[/math]
  2. [math]250-81i[/math]
  3. [math]-250+81i[/math]
  4. [math]250+81i[/math]
6. 
Multiply [math]4+6i[/math] by its conjugate.
  1. [math]16+12i+36i^2[/math]
  2. [math]52i[/math]
  3. [math]52[/math]
  4. [math]16+36i[/math]
7. 
Multiply [math]5-12i[/math] by its conjugate.
  1. [math]169i[/math]
  2. [math]169[/math]
  3. [math]25+34i+144i^2[/math]
  4. [math]203i^3[/math]
8. 
Multiply [math]1-1i[/math] by its conjugate.
  1. [math]1i[/math]
  2. [math]1[/math]
  3. [math]2[/math]
  4. [math]2i[/math]
9. 
Multiply [math]2-10i[/math] by its conjugate.
  1. [math]24[/math]
  2. [math]102i[/math]
  3. [math]104[/math]
  4. [math]4-24i+100i^2[/math]
10. 
Multiply [math]-i[/math] by its conjugate.
  1. [math]-1[/math]
  2. [math]1[/math]
  3. [math]1-i[/math]
  4. No conjugate exists
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