choke:

A power-supply filter whose inductance is used to limit the 
flow of AC while allowing the flow of DC. Chokes naturally 
maintain a more constant flow of current. Output voltages 
do not rise as high as they would without this inductor in 
the circuit; neither does it drop as low when compared to a 
capacitor input filter circuit. Chokes hold the variation 
of output voltage (ripple) to a relatively small value.

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coil:

A number of turns of insulated wire wound around a form of 
insulating material which may or may not include an iron 
core. Some coils are rigid enough to be self-supporting and 
do not require a winding form and/or a core to secure it. A 
coil is also known as an inductor. Inductors possess the 
property of having considerable opposition to the flow of 
AC while allowing DC to pass through the flow.

There is nothing like AC or DC chokes.