| Exam Board | OCR |
|---|---|
| Module | H240/01 (Pure Mathematics) |
| Year | 2017 |
| Session | Specimen |
| Marks | 4 |
| Topic | Simultaneous equations |
| Type | Line intersecting general conic |
| Difficulty | Moderate -0.5 This is a standard simultaneous equations question where one equation is linear and one is quadratic. The method is routine: substitute y = x - 10 from the linear equation into the quadratic, expand to get a quadratic in x, solve, then find corresponding y values. It's slightly easier than average as the technique is well-practiced and the algebra is straightforward with no complications. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution |
Solve the simultaneous equations.
$x^2 + 8x + y^2 = 84$
$x - y = 10$
[4]
\hfill \mbox{\textit{OCR H240/01 2017 Q1 [4]}}