Question

The graphical representation of the pair of equations $x+2y-4=0and2x+4y-12=0$ is:

• A. Intersecting lines
• B. Parallel lines
• C. Coincident lines
• D. All the above

Answer 1

Answer: (B)

Parallel lines

$x+2y-4=\mathrm{0....}\left(i\right)$ and $2x+4y-12=\mathrm{0....}\left(ii\right)$

Slope of $\left(i\right)=m_1=\frac{1}{2}$

Slope of $\left(ii\right)=m_2=\frac{2}{4}=\frac{1}{2}$

$m_1=m_2$

Therefore lines are parallel.