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

A

`2ax - 2by + (a ^(2) + b ^(2) + 4) =0`

B

`2ax + 2by - (a ^(2) +b ^(2) +4) =0`

C

`2ax + 2by + (a ^(2) +b ^(2) +4) =0`

D

`2ax - 2by - (a ^(2) +b ^(2) + 4) =0`

Text Solution

Verified by Experts

The correct Answer is:
B
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