If \( \Delta=\left|\begin{array}{lll}x+1 & x+2 & x+a \\ x+2 & x+3 &...

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If \( \Delta=\left|\begin{array}{lll}x+1 & x+2 & x+a \\ x+2 & x+3 & x+b \\ x+3 & x+4 & x+c\end{array}\right|=0 \), then the family of lines \( a x+b y+c=0 \) passes through
(a) \( (1,-1) \)
(b) \( (1,-2) \)
(c) \( (2,-3)(d)(0,0) \)
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