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Q.

The lines $2 x + 3 y = 9, 4 x + 6 y = 18$ are

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a

coincident lines

b

intersecting lines

c

vertical lines

d

parallel lines

answer is B.

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Detailed Solution

$2 x + 3 y = 9, 4 x + 6 y = 18$

$\frac{2}{4} = \frac{1}{2}; \frac{3}{6} = \frac{1}{2}, \frac{- 9}{- 18} = \frac{1}{2}$

$∴ \frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ coincident lines

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