| Exam Board | OCR |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2006 |
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| Session | January |
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| Topic | Quadratic Functions |
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5
- Express \(x ^ { 2 } + 3 x\) in the form \(( x + a ) ^ { 2 } + b\).
- Express \(y ^ { 2 } - 4 y - \frac { 11 } { 4 }\) in the form \(( y + p ) ^ { 2 } + q\).
A circle has equation \(x ^ { 2 } + y ^ { 2 } + 3 x - 4 y - \frac { 11 } { 4 } = 0\).
- Write down the coordinates of the centre of the circle.
- Find the radius of the circle.