$\"\"$

The equations are $\"\"$ and $\"\"$ .

Write as the equations are in the form of line equation is $\"\"$ .

Case(i).

$\"\"$ (First equation)

$\"\"$ (Divide each side by $\"\"$ )

$\"\"$ (Cancel common terms)

Case(ii).

$\"\"$ (Second equation)

$\"\"$ (Divide each side by $\"\"$ )

$\"\"$ (Cancel common terms)

Hence, the lines have the same slopes that is $\"\"$ .

Therefore, the lines are parallel.

$\"\"$

Option C is right choice.