plumiComplex transformations of the plane: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 8.2 Complex transformations of the plane, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 4 questions on Complex transformations of the plane, as a list
- June 2025, Further Pure 2, Q9 (8 marks): The transformation T from the z‑plane to the w‑plane, where z = x + iy and w = u + iv is given by w z z 2i z ≠ –2i The circle with equation ½ z ½ = 4 is mapped
- June 2024, Further Pure 2, Q5 (9 marks): (i) A circle C in the complex plane is defined by the locus of points satisfying z z 3 2 i (a) Determine a Cartesian equation for C, giving your answer in simpl
- November 2020, Further Pure 2, Q5 (10 marks): A transformation T from the z‑plane to the w‑plane is given by w = 1 3 2 − + z z i z ≠ –2i The circle with equation ½ z + i ½ = 3 is mapped by T onto the circle
- June 2019, Further Pure 2, Q7 (6 marks): A transformation from the z-plane to the w-plane is given by w z z z = − + ≠− i i i (a) Show that the circle C with equation | z + i | = 1 in the z-plane is
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