If a circle passes through the point `(a, b)` and cuts the circlex `x^2+y^2=p^2` equation of the locus of its centre is

Options

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`

Answer

D