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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) = p^(2)` orthogonally, then the equation of the locus of its centre is

A

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

B

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

C

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

D

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

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The correct Answer is:
D
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