| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2007 |
| Session | January |
| Marks | 6 |
| 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 only the quadratic formula to find complex roots (yielding 2±i√3) and plotting them on an Argand diagram. While it's a Further Maths topic, it involves direct application of standard techniques with no problem-solving or conceptual challenges, making it easier than the average A-level question overall. |
| Spec | 4.02i Quadratic equations: with complex roots4.02k Argand diagrams: geometric interpretation |
(i) Find the roots of the quadratic equation $z^2 - 4z + 7 = 0$, simplifying your answers as far as possible. [4]
(ii) Represent these roots on an Argand diagram. [2]2 (i) Find the roots of the quadratic equation $z ^ { 2 } - 4 z + 7 = 0$, simplifying your answers as far as possible.\\
(ii) Represent these roots on an Argand diagram.
\hfill \mbox{\textit{OCR MEI FP1 2007 Q2 [6]}}