Current is constant at all points in a parallel circuit

We have to be a little careful working with this question.   Do you mean
that current is "constant" or do you mean it's "the same current" ?

-- If the energy source for the circuit is supplying DC ... like a battery
   or a solar cell ... then the current is 'constant' at every point in the
   circuit.  It's not changing.  It's the same now as it was 10 seconds
   ago.  But it's NOT necessarily the same amount of current everywhere
   in the circuit.

-- If the energy source for the circuit is not supplying DC ... if it's an
   AC generator, or a charged capacitor, or a function generator ...
   then wherever you look in the circuit, the current is constantly
   changing its value at that point.

-- And if there's any place in the circuit where there are components
   connected in parallel, then the current must have different values
   at different points in the circuit. 
   It can't be the same current everywhere. 

What are the choices?