The cheapest and most sucessfully way to drill into concrete for fixing purpose's. Is to use a rotary/sds drill. A standard hammer drill is no where near strong enough.
Other methods. Such as Specially hardened drill bits need a slow speed (with the hammer function switched off) or a diamond tip drill bit will need water pumped onto it, to keep the bit cool, to stop it's tip from burning off. My biggest tip is. Whatever material you are drilling into be it wood. brick. concrete and especially metal. Always use a low speed. never a high speed. The hole will be cleaner and your drill bit will last a lot longer.
I'm sorry to be the bearer of bad news. Good luck with it.
Peter.