Telecommunication

The best part of being an Electronic and telecommunication engineering is that you have plenty of options. You will be eligible for core electronics companies, software companies, telecom companies and in some cases electo-mechanical and production companies too.
Software companies- TCS, Infosys,IBM etc.
Telecom companies such as Tata communication ,vodaphone,huawai etc.
Production companies such as Tata motors,Denso etc.
Embedded system and VLSI related jobs are too good options. WIPRO,Tata,Intel etc are places where you can try.
If you are interested in research then you can prepare for GATE. And meanwhile you can join as an JRF in DRDO,CSIR etc. Make sure you get couple of research papers published in good journals.

Dear, telecommunications engineering or telecoms engineering, is an engineering discipline centered on electrical and computer engineering which seeks to support and enhance telecommunication systems. A telecommunication engineer is responsible for designing and overseeing the installation of telecommunications equipment and facilities, such as complex electronic switching systems, copper wire telephone facilities, optical fiber cabling, IP data systems, and terrestrial radio link systems. Telecommunication engineering also overlaps heavily with broadcast engineering. To fabricate and test electronic circuits, manufacturing, testing and maintenance of electronic devices and systems.
Best of luck.