The graphical representation of the pair of equations
$x + 2 y - 4 = 0 a n d 2 x + 4 y - 12 = 0$ is?

Intersecting lines

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Parallel lines

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Coincident lines

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All of these

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Solution

The correct option is B Parallel lines
Since, condition for parallel lines:

$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

Here $\frac{1}{2} = \frac{2}{4} \neq \frac{- 4}{- 12}$

Suggest Corrections

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