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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=k^2` orthogonally, then the equation of the locus of its center is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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