| Exam Board | WJEC |
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| Module | Unit 1 (Unit 1) |
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| Year | 2024 |
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| Session | June |
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| Topic | Circles |
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18. (a) A circle \(C\) has centre \(( - 3 , - 1 )\) and radius \(\sqrt { 5 }\). Show that the equation of \(C\) can be written as \(x ^ { 2 } + y ^ { 2 } + 6 x + 2 y + 5 = 0\).
(b) (i) Find the equations of the tangents to \(C\) that pass through the origin \(O\).
(ii) Determine the coordinates of the points where the tangents touch the circle.
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