If the line $(3 x + 14 y + 7) + k (5 x + 7 y + 6) = 0$
is parallel to the y-axis, then find the value of $k$ . $[2 M a r k s]$

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Solution

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

$\Rightarrow (3 + 5 k) x + (14 + 7 k) y + (7 + 6 k) = 0$ $[1 M a r k]$

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

$\Rightarrow 14 + 7 k = 0$

$\Rightarrow k = - 2$ $[1 M a r k]$

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