Express this equation in the form
$$( x - a ) ^ { 2 } + ( y - b ) ^ { 2 } = d$$
State the coordinates of \(C\).
Find the radius of the circle, giving your answer in the form \(n \sqrt { 2 }\).
The point \(P\) with coordinates \(( 4 , k )\) lies on the circle. Find the possible values of \(k\).
The points \(Q\) and \(R\) also lie on the circle, and the length of the chord \(Q R\) is 2 . Calculate the shortest distance from \(C\) to the chord \(Q R\). [0pt]
[2 marks]