Could floating cities become a reality using rocket boosters?

[SteveManPhy076]

Could there perhaps ever be floating cities? If we could get the type of technology that sends rockets into space, and have the boosters running at a constant and equal velocity inversely, could this cause anything to levitate? If so, would this even be habitable? Considering that the fumes given off by such boosters is toxic, would there be a way to disperse of the fumes? In addition, this would be quite costly and probably not worth it.

To expound, it would work with rocket boosters on top of a piece of land pushing downward with a velocity of at least 9.9m/s, and boosters at the bottom of a piece of land with a velocity of at least 9.9m/s.

What do you guys think?

 

[rootone]

If you really wanted something the size of a city to float in the atmosphere it would be far simpler and a lot cheaper to keep it airborne by means of hydrogen or helium gasbags rather than by using rockets.
It's probably feasible from an engineering perspective, but why we should want to float a city in the atmosphere escapes me.
Cities generally are built in locations which are good for agriculture, or there are valuable resources, or at the intersection of trading routes, or are convenient seaports.