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) +p^(2))=0`

B

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

C

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

D

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

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The correct Answer is:

A

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