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The straight lines $x+2 y-9=0, \quad 3 x+5 y-5=0$ and $a x+b y-1=0$ are concurrent, if the straight line $35 x-22 y+1=0$ passes through the point
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The correct answer is:
$(a, b)$
The three lines are concurrent. if $\left|\begin{array}{ccc}1 & 2 & -9 \\ 3 & 5 & -5 \\ a & b & -1\end{array}\right|=0$
$\Rightarrow 35 a-22 b+1=0$
which is true if the line $35 x-22 y+1=0$ passes through $(a, b)$.
$\Rightarrow 35 a-22 b+1=0$
which is true if the line $35 x-22 y+1=0$ passes through $(a, b)$.
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