For what value of k will the equations x + 2y + 7 = 0, 2x + ky + 14 = 0 represents coincident lines?

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Solution

The correct option is C 4
Condition for coincident lines is $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$
$\frac{1}{2} = \frac{2}{k} \Rightarrow k = 4$

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Similar questions

For what value of k will the pair of equations $x + 2 y + 7 = 0, 2 x + k y + 14 = 0$ represent coincident lines?

x + 2 y + 7 = 0

2 x + k y + 14 = 0

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