You need more than just duct tape to fix a hole in the ceiling.
To properly repair ceiling holes:
+ No matter how big the whole, be careful and look out for wires for ceiling fans and lighting fixtures.
+ For drywall holes that are very small, use a spackling compound and drywall knife to prevent them from turning into bigger holes.
+ Larger holes, up to about a foot can be repaired using the same materials, plus a plastic mesh patch.
+ Very large holes are harder, as they may require replacing the entire sheet of drywall with a new sheet.
For more detailed instructions on fixing a hole in the ceiling.