| Exam Board | OCR |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2008 |
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| Session | June |
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| Topic | Circles |
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9
- Find the equation of the circle with radius 10 and centre ( 2,1 ), giving your answer in the form \(x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0\).
- The circle passes through the point \(( 5 , k )\) where \(k > 0\). Find the value of \(k\) in the form \(p + \sqrt { q }\).
- Determine, showing all working, whether the point \(( - 3,9 )\) lies inside or outside the circle.
- Find an equation of the tangent to the circle at the point ( 8,9 ).