Complex Numbers and Transformations (Leaving Cert Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Complex Numbers and Transformations
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

11 questions from this quiz

Show

When multiplying z=3+2iz = 3 + 2i by real number k=2k = 2, what is 2z2z?

6+4i6 + 4i

If ∣z∣|z| is the modulus of zz, what is ∣3z∣|3z|?

3∣z∣3|z|

Where do zz, 2z2z, and 3z3z lie on the Argand diagram?

On same straight line through origin

Adding w=4+2iw = 4 + 2i to zz moves zz by how much?

4 right, 2 up

What remains unchanged when adding the same complex number to different points?

Shape and size

Multiplying a complex number by ii rotates it by what angle?

90°90° anticlockwise

What angle rotation does z×i2z \times i^2 create?

180°180°

What is the value of i3i^3?

−i-i

If z=4+iz = 4 + i, what is iziz?

−1+4i-1 + 4i

If z2=6+6iz_2 = 6 + 6i and z1=2+2iz_1 = 2 + 2i, and z2=az1z_2 = az_1, what is aa?

33

What type of transformation does multiplying by a real number create?

Scaling

Explore Leaving Cert Mathematics Revision Notes by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Model Answers by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Join 100,000+ Leaving Cert students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.