Question

The graphical representation of the pair of equations x + 2y - 4 = 0 and 2x + 4y - 12 = 0 is?

• A. Intersecting lines
• B. Parallel lines
• C. Coincident lines
• D. All of these

Answer 1

The correct option is B Parallel lines

If you compare the given equations with standard form of the equation of lines,
$a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$,

You will get, $\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$
This is the condition for two parallel lines.