The job scope of EEE is very much wide and there is chances of being soluble in both software companies as well as core companies. So, just choose the sector as per your interest and qualification.You will get a job accordingly.
You can get jobs in any software development companies.(TCS, Wipro, u-sigma, Arescent, Sopra etc).
You can jobs in telecommunication companies like BSNL, Airtel, Idea etc.
You can get jobs in core industries as modern uses of PLC and various control system for heavy machinery requires Electrical/Electronics engineers for both operation and maintainance and installation