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If a circle passes through the point (a, b) and cuts the circle x^2 + y^2 = 4 orthogonally then locus of its centre is

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

(a)  2ax  + 2by + a2 + b2 + 4 =

(b) 2ax - 2by-(a2 +  b2 + 4) = 0 

(c)  2ax +  2by - (a2 +  b2 + 4) = 0

(d)  2ax + 2by -  (a2 +  b2 + 4) = 0

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Correct option (d)  2ax + 2by -  (a2 +  b2 + 4) = 0

Explanation:

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