Mathematics Circles Orthogonality of Circles

If a circle passes through the point (a, b) and cut the circle x2 + y2 = 4 orthogonally, then locus of its centre is

1
2ax - 2by - (a2 + b2 + 4) = 0
2
2ax + 2by - (a2 + b2 + 4) = 0
3
2ax - 2by + (a2 + b2 + 4) = 0
4
2ax + 2by + (a2 + b2 + 4) = 0

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