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Argand Diagrams Cheat Sheet | H2 Maths Loci & Modulus

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Argand diagrams cheat sheet for H2 Maths: loci, modulus, argument, conjugates, quadratic roots, and worked examples in Cartesian form.

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Marcus Pang
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Marcus Pang·Managing Director (Maths)
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  1. Quick Argand map
  2. Core Definitions
  3. Algebra of Complex Numbers
  4. Complex Roots of Quadratic Equations
Q: What does H2 Maths Notes (JC 1-2): 4.1) Complex Numbers and Argand Diagrams cover?
A: Cartesian-form complex numbers, Argand diagrams, loci, and the algebra you need for Topic 4.1.
Before you revise
Stick to Cartesian x+iyx + iy: for the 2026 syllabus, complex numbers in polar/exponential form (and De Moivre workflows) are excluded. Focus on modulus/argument, conjugates, quadratic roots, and Argand-diagram geometry.

Quick Argand map

If you have...Walk away with thisFirst action
1 secondx+iyx+iy is a point on a plane.Plot (x,y)(x,y)