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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) -2ax-3by+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

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

Text Solution

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The correct Answer is:
B
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