6. The circle \(C\) has equation
$$x ^ { 2 } + y ^ { 2 } + 6 x - 4 y - 14 = 0$$
- Find
- the coordinates of the centre of \(C\),
- the exact radius of \(C\).
The line with equation \(y = k\), where \(k\) is a constant, is a tangent to \(C\).
- Find the possible values of \(k\).
The line with equation \(y = p\), where \(p\) is a negative constant, is a chord of \(C\).
Given that the length of this chord is 4 units, - find the value of \(p\).
| VIXV SIHIANI III IM IONOO | VIAV SIHI NI JYHAM ION OO | VI4V SIHI NI JLIYM ION OO |