- The circle \(C\) has equation
$$x ^ { 2 } + y ^ { 2 } + 10 x - 6 y + 18 = 0$$
Find
- the coordinates of the centre of \(C\),
- the radius of \(C\).
The circle \(C\) meets the line with equation \(x = - 3\) at two points.
- Find the exact values for the \(y\) coordinates of these two points, giving your answers as fully simplified surds.