Q81 / 155 · WBJEE 2023 · Mathematics

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
\((-a,-b)\)
B
\((a,-b)\)
C
\((-a, b)\)
Correct answer
D
\((a, b)\)

Solution

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

Hence, the correct answer is option: 'D'.

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