Question

The pair of given lines $x+2y-4=0and2x+4y-12=0$ are ____

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

Answer 1

The correct option is B Parallel lines

Since, condition for parallel lines:

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$
Given: $x+2y-4=0and2x+4y-12=0$

Here $\frac{1}{2}=\frac{2}{4}\ne \frac{-4}{-12}$

Hence, the lines are parallel.