Flag Down or Flagfall is the start of the meter when you get in the car and start the ride, a fixed initial charge incurred at the start of a taxi journey, as part of the overall fare.

Minimum fare is charged when you make the booking without the destination, if you make the booking with the destination than the fixed fare is applied whether you chose to arrive at your destination or finish the trip in few meter, the fixed fare will be applied. 

But if you made the booking without the destination and you finished the trip after a couple of meters then minimum fare will apply.