DeepSpeed -
Just an explanation of some USA "aviation" words. A "domicile" is the "home BASE" you are assigned to by the airline company. This is the airport where you normally start your "trip" sequence. This may have absolutely no relationship to your physical home you live in as well as it may have no relationship to the HQ location of the airline.
For instance, American Airlines has their HQ in Dallas/Ft Worth, Texas (DFW). An AA pilot may have their "domicile" as LAX while they may physically live in Miami (MIA) or New York City (JFK). How an AA pilot gets from their physical home to their domicile is up to that pilot and is on their own time and at their own cost.
Miami is on the east coast of the USA while Los Angeles (LAX) is on the west coast of the USA. A distance perhaps equal to your New Delhi to Madras. The assignment of a domicile by your company usually depends on where the company needs the pilots to be located for the start of the trip sequence and has no bearing on where you live. When you are first hired the company usually "tells you" where your domicile will be. As you gain seniority, and pilots leave the company, then you can "bid" for a new domicile closer to your physical home. Whether you "win" your bid or not is mostly a matter of seniority.
All of the above is for a "mainline" company. The smaller regionals may not have any domiciles away from their HQ base.