| Exam Board | AQA |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2018 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Circles |
| Type | Circle equation from centre and radius |
| Difficulty | Moderate -0.3 This is a slightly below-average A-level question. Part (a) requires basic geometric visualization of circles passing through two points on the y-axis. Part (b) involves finding circle equations using the constraint that both points satisfy (x-a)²+(y-b)²=36, leading to a straightforward system. While it requires multiple steps and some algebraic manipulation, the setup is clear and the techniques are standard for AS-level coordinate geometry. |
| Spec | 1.03d Circles: equation (x-a)^2+(y-b)^2=r^21.03e Complete the square: find centre and radius of circle |
A circle of radius 6 passes through the points $(0, 0)$ and $(0, 10)$.
\begin{enumerate}[label=(\alph*)]
\item Sketch the two possible positions of the circle. [1 mark]
\item Find the equations of the two circles. [3 marks]
\end{enumerate}
\hfill \mbox{\textit{AQA AS Paper 2 2018 Q8 [4]}}