Classify the following pair of lines as coincident, parallel or intersecting
$x + 2 y + 1 = 0$ & $2 x + 4 y + 3 = 0$

Parallel

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Intersecting

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Coincident

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None of these

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Solution

The correct option is A Parallel
Comparing the two lines with $a_{1} x + b y_{1} + c = 0$ and $a_{2} x + b y_{2} + c = 0,$
As $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{1}{2}$ and $\frac{c_{1}}{c_{2}} = \frac{1}{3}$
Hence lines are parallel.

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Similar questions

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Q. The graphic representation of the equations

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gives a pair of
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Q. Find whether the lines representing the following pair of linear equations intersect at a point, are parallel or coincident :

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Classify the following pair of lines as coincident, parallel or intersectingx+2y+1=0 & 2x+4y+3=0

The correct option is A ParallelComparing the two lines with a1x+by1+c=0 and a2x+by2+c=0,As a1a2=b1b2=12 and c1c2=13Hence lines are parallel.

Classify the following pair of lines as coincident, parallel or intersecting
$x + 2 y + 1 = 0$ & $2 x + 4 y + 3 = 0$

The correct option is A Parallel
Comparing the two lines with $a_{1} x + b y_{1} + c = 0$ and $a_{2} x + b y_{2} + c = 0,$
As $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{1}{2}$ and $\frac{c_{1}}{c_{2}} = \frac{1}{3}$
Hence lines are parallel.