Jet flies to Paris from BOM, MAA and to Amsterdam from BOM, DEL, BLR.
Air India flies to Paris from DEL.
Your best option is to book a domestic flight to either BOM, DEL, BLR, and book Jet to AMS. From there, AMS to Paris is a 3h train ride. Then book Paris-Delhi on Air India and book another domestic flight back to Hyd. For the domestic flights your can use Indigo since they have a generous 30k excess baggage purchase option intl connections.
Avoid Prague altogether, hard to get to and limited flights.