JEE

The peak of functions chapters of maths for JEE first year are:

 * Functions

 * Limits and Derivatives

 * Continuity and Differentiability

 * Application of Derivative classives

Yes, there are some good chances into NIT with a percentage of 85% in JEE Mains. Basically 85% - 95% is considered good for getting admission in NIT. but then too getting admission depends on various factors which include category, state quota and percentile. These factors also play a major role. and incase if you want to know the NIT you can join then they are NIT Puducherry, NIT Goa, NIT Hamirpur, and NIT Raipur.

The exam center for JEE Mains 2nd attempt will be mentioned in your admit card. You can download your admit card from the official JEE Mains website (jeemain.nta.nic.in) a few days before the exam date.

To join MIT Academy of Engineering for a B.Tech program, candidates are required to appear for either the JEE Main or MHT-CET entrance exams. Admission is based on the scores obtained in these exams followed by a counseling process conducted by the Directorate of Technical Education (DTE), Maharashtra. Therefore, it is not possible to gain admission to the B.Tech programs at MIT Academy of Engineering without participating in these entrance examinations.

While your NATA (National Aptitude Test in Architecture) and JEE Paper 2 scores are crucial for securing admission to architecture programs, your Class 12 marks still play an important role, especially in meeting eligibility criteria and in the overall selection process. 

Most institutes require a minimum percentage in Class 12 (usually in the range of 50-60%) in subjects like Mathematics and Physics. Even if your NATA and JEE Paper 2 scores are good, having a solid academic background in Class 12 will ensure you meet the eligibility requirements and increase your chances of admission.

Yes, you can get admission to a B.Tech programme at APG Shimla University without JEE Mains score. The interested candidate should have scored at least 50% marks in Physics, Chemistry, and Mathematics as compulsory subjects in10+2 examination. It is one of the reputed colleges in the region known for providing quality education to its students.

A 53 percentile in JEE Mains is not enough for top NITs, IIITs, or GFTIs. However, you can still get admission to some private colleges. Here are a few options:

1. Heritage Institute of Technology
2. Techno India University
3. IIMT College of Engineering, Greater Noida
4. Anurag University, Hyderabad

Check with the colleges directly for the latest admission criteria and cut-offs. Getting the latest news from the official websites will lead to more accurate P.O.V.