question_answer

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 centre is

A)  \[2ax+2by-({{a}^{2}}+{{b}^{2}}+{{k}^{2}})=0\]

B)  \[2ax+2by-({{a}^{2}}-{{b}^{2}}+{{k}^{2}})=0\]

C)  \[{{x}^{2}}+{{y}^{2}}-3ax-4by+{{a}^{2}}+{{b}^{2}}-{{k}^{2}})=0\]

D)  \[{{x}^{2}}+{{y}^{2}}-2ax-3by+({{a}^{2}}-{{b}^{2}}-{{k}^{2}})=0\]

E)  None of these