| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2017 |
| Session | June |
| Marks | 3 |
| Topic | Circles |
| Type | Find centre and radius from equation |
| Difficulty | Easy -1.8 This is a very straightforward question requiring only direct reading of the centre from completed square form and one application of the distance formula. Both parts are immediate recall with minimal calculation, making it significantly easier than average A-level questions. |
| Spec | 1.03d Circles: equation (x-a)^2+(y-b)^2=r^2 |
**Question 1(i)**
State $(3, 2)$ **B1**
**Question 1(ii)**
Substitute $(0, 2)$ to find diameter. **M1**
Obtain 6. **A1**
**Total: 3 marks**1 The equation of a circle is given by $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = r ^ { 2 }$.\\
(i) Write down the coordinates of the centre of the circle.\\
(ii) The circle passes through the point $( 0,2 )$. Find the length of the diameter.
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2017 Q1 [3]}}