Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Start Practicing

Worksheet: Representing Complex Numbers Using Argand Diagrams

Q1:

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

  • A
  • B
  • C
  • D
  • E

Q2:

Describe the geometric transformation that maps every complex number to its conjugate .

  • Areflection in the line
  • Breflection in the imaginary axis
  • Creflection in the line
  • Dreflection in the real axis
  • Erotation by about the origin

Q3:

In what quadrant does lie?

  • Athe second quadrant
  • Bthe first quadrant
  • Cthe fourth quadrant
  • Dthe third quadrant

Q4:

Find the value of given on the Argand diagram below.

  • A
  • B
  • C
  • D

Q5:

Find the value of given on the Argand diagram below.

  • A
  • B
  • C
  • D

Q6:

Find the value of given on the Argand diagram below.

  • A
  • B
  • C
  • D

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:

Find the value of given on the Argand diagram below.

  • A
  • B
  • C
  • D

Q10:

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

  • A
  • B
  • C
  • D

Q11:

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

  • A
  • B
  • C
  • D

Q12:

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

  • A
  • B
  • C
  • D