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If the straight lines $x + 2 x - 9 = 0, 3 x + 5 y - 5 = 0$ and $a x + b y + 1 = 0$ are concurrent, then the straight line $35 x - 22 y - 1 = 0$ passes through

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$(- a, b)$

$(a, b)$

$(b, a)$

$(a, - b)$

answer is A.

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Detailed Solution

If given lines are concurrent at (–35, 22), then

$35 a - 22 b - 1 = 0$

$\Rightarrow$ The line $35 x - 22 y - 1 = 0$ passes through

$(a, b) .$

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