Question

Match the following with their type of lines.

• A. Coincident
• B. Intersecting
• C. Parallel

Answer 1

$x+y=1-------\left(i\right)$
$2x+2y=2-----\left(ii\right)$
Here$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$
Therefore these two lines are coincident lines

$2x+4y=1----\left(i\right)$
$x+2y=3---\left(ii\right)$
Here $\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$.
Therefore these lines are parallel lines

$3x-y=5---\left(i\right)$
$x+y=-1---\left(ii\right)$
Here $\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$
Therefore these lines are intersecting lines.