The set of points equidistant from a pair of parallel lines 5x-2x-6 = 0, 10x-4y + 3 = 0 is

The set of points equidistant from a pair of parallel lines 5x-2x-6 = 0, 10x-4y + 3 = 0 is

Two parallel lines,
10x-4y-12=0
10x-4y+3=0
The set of points equal to their distance is a line parallel to them and sandwiched between them
So the equation is
10x-4y+ (-12+3)/2=0
10x-4y-9/2=0
20x-8y-9=0