| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2013 |
| Session | November |
| Topic | Simultaneous equations |
| Type | Line intersecting general conic |
| Difficulty | Easy -1.8 This is a straightforward substitution problem requiring only basic algebraic manipulation. Substitute y=2x into the circle equation to get 5x²=5, then x=±1 and y=±2. This is simpler than typical A-level questions as it involves minimal steps and no conceptual challenges beyond routine substitution. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution1.03d Circles: equation (x-a)^2+(y-b)^2=r^2 |
1 Solve the simultaneous equations
$$\begin{aligned}
x ^ { 2 } + y ^ { 2 } & = 5 \\
y & = 2 x
\end{aligned}$$
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2013 Q1}}