| Exam Board | OCR MEI |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2009 |
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| Session | January |
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| Topic | Circles |
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- Show that the equation of the circle with AB as diameter may be written as
$$( x - 5 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 40$$
- Find the coordinates of the points of intersection of this circle with the \(y\)-axis. Give your answer in the form \(a \pm \sqrt { b }\).
- Find the equation of the tangent to the circle at B . Hence find the coordinates of the points of intersection of this tangent with the axes.