Hello Ashish!

Electrical Engineering is one of the core branches and there are plenty of career opportunities for an electrical engineer.

1. Mostly you will get placed in one of the companies during campus placements. You can either choose to work for a company based on electricals and hardware, or you can choose IT or other non electrical based sector also. If you are preferring latter, you must also prepare according.
2. You can apply for electrical engineer posts in Indian Navy or Indian Army. its one of the best choices and you will have an amazing job profile.
3. If you are interested in teaching, it is a great option too. A lecturer graduated from IIT is always welcome everywhere. Since you are doing dual course, you have Masters degree too.
4. Other options like bank exams, UPSE exams, ISE exam or other government exmas.
5. You can do research in electronics and its applied fields. You can give entrance exams for research based institutions(either in India or abroad).

All the best! Choose according to your interest and goals.