| Exam Board | SPS |
|---|---|
| Module | SPS FM Pure (SPS FM Pure) |
| Year | 2023 |
| Session | February |
| Marks | 4 |
| Topic | Complex Numbers Arithmetic |
| Type | Linear equations in z and z* |
| Difficulty | Moderate -0.8 This is a straightforward complex number equation requiring substitution of z = x + iy, equating real and imaginary parts, and solving a simple 2×2 system. It's a routine textbook exercise testing basic manipulation of complex conjugates with no conceptual difficulty or problem-solving insight required, making it easier than average. |
| Spec | 4.02e Arithmetic of complex numbers: add, subtract, multiply, divide |
Solve the equation $2z - 5iz^* = 12$.
[4]
\hfill \mbox{\textit{SPS SPS FM Pure 2023 Q2 [4]}}