| Exam Board | Edexcel |
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| Module | AEA (Advanced Extension Award) |
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| Year | 2005 |
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| Session | June |
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| Topic | Circles |
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1．A point \(P\) lies on the curve with equation
$$x ^ { 2 } + y ^ { 2 } - 6 x + 8 y = 24$$
Find the greatest and least possible values of the length \(O P\) ，where \(O\) is the origin．