Lesson: Representing Complex Numbers Using Argand Diagrams

In this lesson, we will learn how to identify complex numbers plotted on an Argand diagram and discover their geometric properties.

Question Video: Finding the Modulus of a Complex Number given on the Argand Diagram

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Q1:

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

Q2:

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

Q3:

In what quadrant does lie?

Q4:

Find the value of given on the Argand diagram below.

Q5:

Find the value of given on the Argand diagram below.

Q6:

Find the value of given on the Argand diagram below.

Q7:

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

Q8:

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

Q9:

Find the value of given on the Argand diagram below.

Q10:

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

Q11:

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

Q12:

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

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