If a circle passes through the point (a,...

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

A

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

B

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

C

`x^(2)+y^(2) - 3ax - 4by + a^(2) +b^(2) - k^(2)=0`

D

`x^(2) +y^(2) -2ax - 3by + ( a^(2)- b^(2) -k^(2))=0`

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The correct Answer is:

A

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