| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Circles |
| Type | Circle from diameter endpoints |
| Difficulty | Moderate -0.8 This is a straightforward C2 circle question requiring only standard formulas: midpoint formula for part (a) and recognizing that for a diameter, the center is the midpoint and radius is half the distance between endpoints for part (b). Both parts involve direct application of memorized techniques with no problem-solving or geometric insight required, making it easier than average. |
| Spec | 1.03d Circles: equation (x-a)^2+(y-b)^2=r^21.03e Complete the square: find centre and radius of circle |
The points $A$ and $B$ have coordinates $(5, -1)$ and $(13, 11)$ respectively.
\begin{enumerate}[label=(\alph*)]
\item Find the coordinates of the mid-point of $AB$.
[2]
\end{enumerate}
Given that $AB$ is a diameter of the circle $C$,
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item find an equation for $C$.
[4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q2 [6]}}