- The circle \(C _ { 1 }\) has equation
$$x ^ { 2 } + y ^ { 2 } - 6 x + 14 y + 33 = 0$$
- Find
- the coordinates of the centre of \(C _ { 1 }\)
- the radius of \(C _ { 1 }\)
A different circle \(C _ { 2 }\)
- has centre with coordinates (-6, -8)
- has radius \(k\), where \(k\) is a constant
Given that \(C _ { 1 }\) and \(C _ { 2 }\) intersect at 2 distinct points,- find the range of values of \(k\), writing your answer in set notation.