Computer Science and Engineering Counselling

Sorry dear with this rank I don't think you will get any B.TECH college with CSE unless until you belong to the ST and SC's class. Try to improve your percentile and rank in next JEE Mains exam to clear top IIT's and NIT's college of India. There are some college that take admission with 12 marks score you can SEE that option too. Coming back to your college fee structure under 10 Lacs I think Jadavpur University and many more government funded college came under the 10lakhs fee structure work hard to get in it.
The top computer science engineering colleges having fee below 10 lacs:
1. Manipal Institute of Technology, Manipal
2. SRM Institute of Science and Technology, Chennai
3. College of Engineering, Pune
4. Dayananda SAGAR College of Engineering, Bangalore
5. RV College of Engineering, Bangalore
6. Vellore Institute of Technology, Vellore
7. PSG college of technology, Coimbatore
8. Maharaja Sayajirao University of Baroda, Vadodara
9 Kalinga institute of technology
10. JIIT COLLEGE OF Engineering

Hi. MCA (Master of Computer Applications) is a professional Masters degree in computer Science. It focuses on providing a theoretical as well as practical training to students in the related field. Computer Applications is the use of a computer to solve a problem or to accomplish a particular job. This course is designed to meet up with the demand for qualified professionals in the IT field. The MCA course comprises of four contents like Mathematics behind Computer sciences, concepts in core computers and systems Science, non-core computer courses and software development or design. One can pursue MCA after the completion of a Bachelors degree. Basically, the graduates of Bachelors of Computer Applications BCA pursue MCA. The course emphasis on the latest programming languages and tools to develop better and faster applications. BCA makes a base while MCA adds a specialised touch in the subjects studied in B.A. Any graduate who has passed or appearing for the final year degree examination in any discipline ( Science, commerce, arts, engineering or any approved university) is eligible to apply. Candidates must have mathematics as a subject in their 10+2 course or any one year of graduation. If you continue B.A. Then try to hold good % marks. Then go for MCA. Because there is no way to take direct admission in MCA.