The straight lines $x+2 y-9=0,3 x+5 y-5=0$ and $a x+$ by $-1=0$ are concurrent if the straight line $35 x-22 y+$ $1=0$ passes through the point

Question

The straight lines $x+2 y-9=0,3 x+5 y-5=0$ and $a x+$ by $-1=0$ are concurrent if the straight line $35 x-22 y+$ $1=0$ passes through the point, $(-a,-b)$, $(a,-b)$, $(-a, b)$, $(a, b)$

MARKS App · Accepted Answer

Hint : $\left|\begin{array}{lll}a & b & -1 \ 1 & 2 & -9 \ 3 & 5 & -5\end{array}\right|=0 \Rightarrow 35 a-22 b+1=0$

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