Are you sure it's fuel and not oil or oily water? Also are you sure the drop hanging from the tube is the same stuff?
Use your nose, it can tell if it's fuel or oil pretty well.
My V11 would leak a bit of fuel from the bottom of the throttle bodies because the rubber boots were slightly cracked. After replacing them there is no more leak. I believe the black tube you are talking about is the crankcase breather tube, it's normal to have some slight discharge from this and it's usually oily water. There is also a fuel tank overflow tube that comes down somewhere around there. Generally should not vent fuel unless you're overfilling, have a leaking filler cap, or the cap vent is plugged and pressure is building up in the tank and pushing fuel out the overflow.