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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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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