plumiComplex numbers: CAIE A‑Level Maths questions
Every CAIE A-Level Maths exam question on 3.9 Complex numbers, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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![June 2024 Paper 3, question 7: (a) On a single Argand diagram sketch the loci given by the equations z 3 2i = 2 and - + w 3 2 i w 3 4 i where z and w are complex numbers. [4] - + = + - (b) He](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/970931-jun24-07-qp.webp)
![Specimen Paper 3, question 6: The complex numbers 1 + 3i and 4 + 2i are denoted by u and v respectively. u in the form x + iy, where x and y are real. (a) Find v [3] u . (b) State the argume](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/970903-spec-06-qp.webp)
All 3 questions on Complex numbers, as a list
- June 2024, Paper 3, Q4 (4 marks): The complex number u is given by u 1 i 3 . = - - (a) Express u in the form r (cos i sin i ) , where r 2 0 and 1 . Give the exact values of r i + - r i G r and i
- June 2024, Paper 3, Q7 (6 marks): (a) On a single Argand diagram sketch the loci given by the equations z 3 2i = 2 and - + w 3 2 i w 3 4 i where z and w are complex numbers. [4] - + = + - (b) He
- Specimen, Paper 3, Q6 (8 marks): The complex numbers 1 + 3i and 4 + 2i are denoted by u and v respectively. u in the form x + iy, where x and y are real. (a) Find v [3] u . (b) State the argume
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