1.

The equation of the common chord of the circles \[{{(x-a)}^{2}}+{{(y-b)}^{2}}={{c}^{2}}\]and \[{{(x-b)}^{2}}+{{(y-a)}^{2}}={{c}^{2}}\] is

A.            \[x-y=0\] 
B.            \[x+y=0\]
C.            \[x+y={{a}^{2}}+{{b}^{2}}\]         
D.            \[x-y={{a}^{2}}-{{b}^{2}}\]
Answer» B.            \[x+y=0\]


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