If a circle passes through the point (a,b) and cuts the circle x2 + y2 = p2 orthogonally, then the equation of the locus of its centre is
(a) 2 ax + 2 by - (a2 + b2 + p2) = 0
(b) x2 + y2 - 2ax - 3by + (a2 - b2 - p2) = 0
(c) 2ax + 2by - (a2 - b2 + p2) = 0
(d) x2 + y2 - 3ax - 4by + (a2 + b2 - p2) = 0