| Exam Board | Edexcel |
|---|
| Module | PMT Mocks (PMT Mocks) |
|---|
| Topic | Circles |
|---|
3. A circle \(C\) has equation
$$x ^ { 2 } - 22 x + y ^ { 2 } + 10 y + 46 = 0$$
a. Find
i. the coordinates of the centre \(A\) of the circle
ii. the radius of the circle.
Given that the points \(Q ( 5,3 )\) and \(S\) lie on \(C\) such that the distance \(Q S\) is greatest,
b. find an equation of tangent to \(C\) at \(S\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are constants to be found.