| 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 -0.5 This is a straightforward circle equation question requiring the midpoint formula for the centre, distance formula for radius, and substitution into the standard circle equation. All steps are routine C2 techniques with no problem-solving insight needed, making it slightly easier than average but not trivial due to the multi-step calculation. |
| Spec | 1.03d Circles: equation (x-a)^2+(y-b)^2=r^21.03e Complete the square: find centre and radius of circle |
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 Q2 [4]}}