2 The circle with equation \(( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 40\) intersects the \(y\)-axis at points \(A\) and \(B\).
- Find the \(y\)-coordinates of \(A\) and \(B\), expressing your answers in terms of surds.
- Find the equation of the circle which has \(A B\) as its diameter.