| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Circles |
| Type | Circle from diameter endpoints |
| Difficulty | Moderate -0.8 This is a straightforward application of the circle equation formula where the diameter endpoints are given. Students need to find the center (midpoint) and radius, then write the equation - all standard procedures with no problem-solving insight required. Slightly easier than average due to being a direct single-method question with simple arithmetic. |
| Spec | 1.03d Circles: equation (x-a)^2+(y-b)^2=r^2 |
The point $A$ has coordinates $(2, 5)$ and the point $B$ has coordinates $(-2, 8)$. Find, in cartesian form, an equation of the circle with diameter $AB$. [4]
\hfill \mbox{\textit{Edexcel C2 Q1 [4]}}