question_answer

Circles \[{{(x+a)}^{2}}+{{(y+b)}^{2}}={{a}^{2}}\] and \[{{(x+\alpha )}^{2}}\] \[+{{(y+\beta )}^{2}}=\]\[{{\beta }^{2}}\] cut orthogonally, if

A)            \[a\alpha +b\beta ={{b}^{2}}+{{\alpha }^{2}}\]           

B)            \[2(a\alpha +b\beta )={{b}^{2}}+{{\alpha }^{2}}\]

C)            \[a\alpha +b\beta ={{a}^{2}}+{{b}^{2}}\]                     

D)            None of these