If the lines \( p_{1} x+q_{1} y=1, p_{2} x+q_{2} y=1 \) and \( p_{3} x+q_{3} y=1 \) be concurren...

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If the lines \( p_{1} x+q_{1} y=1, p_{2} x+q_{2} y=1 \) and \( p_{3} x+q_{3} y=1 \) be concurrent, show that the points \( \left(p_{1}, q_{1}\right),\left(p_{2}, q_{2}\right) \) and \( \left(p_{3}, q_{3}\right) \) are collinear.
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