| Exam Board | OCR |
|---|---|
| Module | H240/01 (Pure Mathematics) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Line intersecting general conic |
| Difficulty | Moderate -0.8 This is a straightforward simultaneous equations problem requiring substitution of a linear equation into a quadratic (circle equation), then solving the resulting quadratic. It's a standard textbook exercise with clear method and minimal steps, making it easier than average but not trivial since it requires algebraic manipulation and solving a quadratic. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution1.02f Solve quadratic equations: including in a function of unknown |
1 Solve the simultaneous equations.
$$\begin{array} { r }
x ^ { 2 } + 8 x + y ^ { 2 } = 84 \\
x - y = 10
\end{array}$$
\hfill \mbox{\textit{OCR H240/01 Q1 [4]}}