| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Arithmetic |
| Type | Standard quadratic with real coefficients |
| Difficulty | Easy -1.2 This is a straightforward Further Maths question requiring routine application of the quadratic formula to find complex roots, followed by standard conversion to modulus-argument form. While it involves complex numbers (a Further Maths topic), both parts are direct procedural calculations with no problem-solving or conceptual challenges—easier than the average A-level question overall. |
| Spec | 4.02b Express complex numbers: cartesian and modulus-argument forms4.02i Quadratic equations: with complex roots |
1 (i) Find the roots of the quadratic equation $z ^ { 2 } - 6 z + 10 = 0$ in the form $a + b \mathrm { j }$.\\
(ii) Express these roots in modulus-argument form.
\hfill \mbox{\textit{OCR MEI FP1 2009 Q1 [5]}}