Check whether the given lines are parallel or perpendicular. `ax-by+c=0` and `(ax)/2-(by)/2+d=0`

Check whether the given lines are parallel or perpendicular 5x+23y+14=0 and 23x-5y+9=0

Check whether the given lines are parallel or perpendicular (x)/(3)+(y)/(4)+(1)/(7)=0 and (2x)/(3)+(y)/(2)+(1)/(10)=0

Find the distance between the parallel lines ax+by+c=0 and ax+by+d=0

Find the distance between the parallel lines ax+by+c=0 and ax+by+d=0