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Q.

The pair of lines $2 x + y - 5 = 0$ and $4 x + 2 y + 10 = 0$ represent

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a

coincident lines

b

lines through origin

c

intersecting lines

d

parallel lines

answer is C.

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Detailed Solution

$2 x + y - 5 = 0$ and $4 x + 2 y + 10 = 0$

$\frac{a_{1}}{a_{2}} = \frac{2}{4} = \frac{1}{2} \frac{b_{1}}{b_{2}} = \frac{1}{2}$

$\frac{c_{1}}{c_{2}} = \frac{- 5}{- 10} = \frac{- 1}{2}$

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

Parallel lines

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