- A circle \(C\) has equation
$$x ^ { 2 } + y ^ { 2 } + 6 k x - 2 k y + 7 = 0$$
where \(k\) is a constant.
- Find in terms of \(k\),
- the coordinates of the centre of \(C\)
- the radius of \(C\)
The line with equation \(y = 2 x - 1\) intersects \(C\) at 2 distinct points.
- Find the range of possible values of \(k\).