There are 2 factors involved here. First is the branch and the second is the institute. Speaking course wise ECE and EEE are somewhat similar and offer good career opportunities. You can choose either according to your interest. 

NIT Delhi is 2 years younger than BITS Hyderabad campus and 6 years younger than BITS Goa campus. The older the institute offers better opportunities and better known. 

So BITS has an edge over NIT Delhi in providing the best opportunities when the institute factor is taken. BITS also has much more recruiters than NIT Delhi. According to the recent placement highlights the average CTC offered at BITS Goa and BITS Hyderabad is around 5 LPA.