Edexcelā¢A-Levelā¢Further Maths
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Complex Numbers
Complex number arithmetic, Argand diagrams, and modulus-argument form
Practice 20 subtopics in Complex Numbers. All questions match the Edexcel A-Level specification.
About Complex Numbers
Complex Numbers is a key topic in the Edexcel A-Level Further Mathsspecification. This topic covers complex number arithmetic, argand diagrams, and modulus-argument form.
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Definition of i = ā(-1)Real and imaginary partsComplex conjugate z*Addition and subtractionMultiplication of complex numbersDivision using conjugatesSquare roots of complex numbersSolving quadratics with complex rootsComplex conjugate root theoremSolving cubic equationsSolving quartic equationsRepresenting z on Argand diagramModulus |z| = ā(xĀ² + yĀ²)Argument arg(z)Modulus-argument form: r(cos Īø + i sin Īø)Multiplying and dividing in mod-arg form|z - zā| = r (circle)|z - zā| = |z - zā| (perpendicular bisector)arg(z - zā) = Īø (half-line)Regions in the Argand diagram
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