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If the lines \( a_{1} x+b_{1} y+1=0, a_{2} x+b_{2} y+1=0 \), and \( a_{3} x+b_{3} y+1=0 \) are concurrent, then show that the points \( \left(a_{1}, b_{1}\right),\left(a_{2}, b_{2}\right) \), and \( \left(a_{3}, b_{3}\right) \) are collinear.
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