11 A circle with centre \(C\) has equation \(x ^ { 2 } + y ^ { 2 } + 8 x - 12 y = 12\)
11
- Find the coordinates of \(C\) and the radius of the circle.
[0pt]
[3 marks]
11 - The points \(P\) and \(Q\) lie on the circle.
The origin is the midpoint of the chord \(P Q\).
Show that \(P Q\) has length \(n \sqrt { 3 }\), where \(n\) is an integer.
[0pt]
[5 marks]