| Exam Board | OCR |
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| Module | PURE |
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| Topic | Circles |
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8 In this question you must show detailed reasoning.
The lines \(y = \frac { 1 } { 2 } x\) and \(y = - \frac { 1 } { 2 } x\) are tangents to a circle at \(( 2,1 )\) and \(( - 2,1 )\) respectively. Find the equation of the circle in the form \(x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0\), where \(a , b\) and \(c\) are constants.