The correct answer is (c) a* and a0 are constant along the entire flow for an adiabatic, inviscid, steady flow
For explanation: a* and a0 are the defined properties of the flow, constant at a point. They are related to each other but not same. For an adiabatic, inviscid, steady flow they are constant along the streamline. And if all the streamlines are coming from same uniform free-stream, they are constant along the entire flow.