Number of real roots of equation \( \left|\begin{array}{ccc}0 & x-a & x-b \\ x+a & 0 & x-c \\ x+...

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Number of real roots of equation \( \left|\begin{array}{ccc}0 & x-a & x-b \\ x+a & 0 & x-c \\ x+b & x+c & 0\end{array}\right|=0 \), \( a \neq b \neq c \) and \( b(a+c)a c \) are
(A) 1
(B) 2
(C) 3
(D) undefined
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