Paper 1 · Complex Numbers
⏱ Tested in 3 exam questions since 2023
Lesson 7 of 17
Complex Numbers 7 – Rotations
This tutorial is for members
Read the lesson notes free below — subscribe to watch the full worked video and download the PDF.
Subscribe for full access · €199/yrYou’ll learn
- Rotate a complex number 90° anti-clockwise by multiplying by i (clockwise with −i)
- Recognise that real multiples k·z lie on one line through the origin with z
- Test z₃ = z₁ + z₂ on an unlabelled Argand diagram using the parallelogram rule
- Identify the conjugate z̄ as a reflection (axial symmetry) in the real axis
Most recent exam questions
- 2025 P1 Q3(a) — deferred
- 2024 P1 Q4(b) — deferred
- 2023 P1 Q4(c)(i)
- 2023 P1 Q4(c)(ii)
- 2023 P1 Q4(c)(iii)
💬 Stuck on something in this lesson?
Send your question with this lesson’s name attached — you’ll get a reply by email.