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Worksheet: Graphing Complex Numbers

Q1:

In which quadrant of the Argand diagram does the complex number lie?

  • Afirst
  • Bfourth
  • Csecond
  • Dthird

Q2:

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

  • A
  • B
  • C
  • D

Q3:

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

  • A
  • B
  • C
  • D

Q4:

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

  • A
  • B
  • C
  • D

Q5:

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

  • A
  • B
  • C
  • D

Q6:

What does the modulus of a complex number represent?

  • Aits imaginary coordinate in the complex plane
  • Bits real coordinate in the complex plane
  • Cits distance from the origin in the complex plane
  • Dthe angle it makes with the positive imaginary axis
  • Ethe angle it makes with the positive real axis

Q7:

Given that the complex number is represented by the point on the Argand diagram below, find .

  • A
  • B
  • C
  • D
  • E

Q8:

Given that the complex number is represented by the point on the Argand diagram below, find .

  • A
  • B
  • C
  • D
  • E

Q9:

Given that the complex number is represented by the point on the Argand diagram below, find .

  • A
  • B
  • C
  • D
  • E

Q10:

Given that the complex number is represented by the point on the Argand diagram below, find .

  • A
  • B
  • C
  • D
  • E

Q11:

Given that , find .

  • A
  • B
  • C
  • D
  • E

Q12:

Given that , find .

  • A
  • B
  • C
  • D
  • E

Q13:

Given that , find .

  • A
  • B
  • C
  • D
  • E

Q14:

Given that , determine the real part of the complex number .

  • A
  • B
  • C6
  • D3

Q15:

What complex number lies at the midpoint of and on the given complex plane?

  • A
  • B
  • C
  • D
  • E