If the line $(3 x + 14 y + 7) + k (5 x + 7 y + 6) = 0$ is parallel to the y-axis, then the value of $k$ is

$\frac{1}{3}$

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$\frac{- 3}{5}$

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$- 2$

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$2$

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Solution

The correct option is C
$- 2$

Given line is $(3 x + 14 y + 7) + k (5 x + 7 y + 6) = 0$

$\Rightarrow (3 + 5 k) x + (14 + 7 k) y + (7 + 6 k) = 0$

If it is parallel to y- axis, then coefficient of y $= 0$

$\Rightarrow 14 + 7 k = 0$

$\Rightarrow k = - 2$

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