Electrical and Electronics Engineering

Syllabus of EEE and ECE is about 80% common. EEE syllabus has electives on Electrical power generation and distribution. Whereas ECE has electives on Telecommunication technology.

The most demanded branch currently is CSE than comes Mechanical and the third is ECE . So as per your question ECE is clearly better than EE . Also see that there lies a difference in EEE and EE .
EE is simply electrical engineering and EEE is Electronics and Electrical Engineering which is better than EE .

your JEE Mains score is poor so chances are less.Check the last year cutoff for respective branch .

Hi Dear,
Kindly go through the below link. It will give you an rough idea about the cuttoff scores of colleges. https://www.shiksha.com/jee-mains-college-predictor

Well most common software companies like Infy, Accenture come year on year but core placements are less comparatively and if you are interested in working in the core field you will have to get placed outside the campus and many of the previous year students have successfully joined core industry but it will require hard work.

eee is the best due to future job opportunities

there are plenty of job options both in government and private sectors.
and u can even go for further studies.