Electrical and Electronics Engineering

You should do B.Tech via lateral entry. Diploma holders in any stream are eligible to take admission, in the second year of the course. They must have done their Diploma after 10th (3-year) with a minimum of 50% or after class 12th (2-year) and they need to qualify LEET. Various engineering colleges in India also offer direct admission to Diploma holders in the second year of the course and in reputed institutes, after completing Diploma, a student gets entry in the second year of B.Tech through LEET. Some private institutes like BITS-Pilani, VIT, LPU University, etc., conduct their separate entrance test.
The best colleges in the north for engineering are:
PEC-Chandigarh
Lovely Professional University
Thapar Institute.

Hi Pallavi,
BITS-Pilani has its flagship course of CSE which is at par with the IITs. But, as you have mentioned you are getting EEE at BITS Pilani Campus and ECE at MNIT. There can be different factors on which you can take your decision. Firstly, you can opt for a branch transfer if you score above 8.5+ CGPA in your first year (and if seat is available) and can pursue CSE from BITS. However, The EEE course of BITS is also good in terms of pedagogy as well as placements. The academics of BITS is highly flexible, so you can also pursue coding and programming during your tenure and get into a bluechip company at your final placements. When it comes to MNIT, the ECE course is equally good as BITS and the placements are impressive over there too. Mostly, the students get into a software profile and get into SAP, Oracle etc., and obviously, the fee of MNIT is quite lower than BITS. So, take your decision accordingly.
Best wishes.