| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2009 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Line intersecting general conic |
| Difficulty | Moderate -0.5 This is a straightforward simultaneous equations problem requiring substitution of a linear equation into a quadratic (conic), then solving the resulting quadratic. It's slightly easier than average because the linear equation rearranges trivially (y = 2x - 4), the substitution is clean, and solving the resulting quadratic in x is routine C1 algebra with no complications. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
4 Solve the simultaneous equations
$$4 x ^ { 2 } + y ^ { 2 } = 10 , \quad 2 x - y = 4$$
\hfill \mbox{\textit{OCR C1 2009 Q4 [6]}}