- A circle \(C\) has equation
$$x ^ { 2 } + y ^ { 2 } - 4 x + 8 y - 8 = 0$$
- Find
- the coordinates of the centre of \(C\),
- the exact radius of \(C\).
The straight line with equation \(x = k\), where \(k\) is a constant, is a tangent to \(C\).
- Find the possible values for \(k\).