A circle \(S\) passes through the point \((0, 1)\) and is orthogonal to the circles \((x-1)^2 + y^2 =16\) and \(x^2 + y^2 =1\) then
1
Radius of \(S\) is \(8\)
2
Radius of \(S\) is \(7\)
3
Centre of \(S\) is \((-7, 1)\)
4
Centre of \(S\) is \((-8, 1)\)