Engineering Entrance Exam

It depends upon the JEE Main and JEE Advance cut offs, If You manage to qualify the exam by achieving the cut off, You can apply for JoSAA Counselling. It should be noted that the cut off for EWS/SC/ST/FEMALES/OBC category is lower than the general category.
If you manage to qualify JEE Main Cutoff, You would be eligible for JEE Advance which is the intake exam for IITs as mentioned above. However It is usually advised to fill the choices as per the preference of colleges and departments, for example CSE in NIT Trichy is your priority followed by CSE in NIT Warangal, you can fill CSE at NIT Trichy at serial number 1 and CSE at NIT Warangal at serial number 2 and so on and so forth. However, to get any NIT, you must have qualified JEE Mains and to get any IIT, you must have qualified JEE Advanced
But the previous cut offs of colleges should be taken in consideration, it is better to research over the cut off of colleges then make a preference list of colleges and fill accordingly.
According to past year you have very low chances to get admissions in NIT or IIIT.

If you have covered your board syllabus efficiently but haven't attempted any coaching or mocks, here are some tips to help you gain maximum marks in JEE Mains:
Understand the JEE Mains syllabus and exam pattern: The first step towards success in any exam is understanding the syllabus and exam pattern. Knowing the syllabus will help you focus on the topics that are more likely to appear in the exam, and knowing the exam pattern will give you an idea of the type and number of questions that will be asked. Practice previous years' question papers: Solve previous years' question papers to get an idea of the type of questions asked in the exam. This will also help you identify your strengths and weaknesses and help you work on them. Attempt mock tests: Mock tests simulate the real exam environment and help you evaluate your preparation. Attempting mock tests will give you an idea of how well you have prepared for the exam and where you stand. Focus on time management: Time management is crucial in any competitive exam. Practice solving questions within the given time limit. Try to attempt the easier questions first, and leave the difficult ones for later. Strengthen your fundamentals: JEE Mains requires a strong foundation in concepts and fundamentals. Revise the concepts and formulas thoroughly, and practice solving problems based on those concepts. Learn from your mistakes: Analyze your mistakes in mock tests and previous years' question papers. Identify your weaknesses and work on them. Stay calm and confident: Stay calm and composed during the exam. Don't panic if you find a difficult question. Move on to the next question and come back later. Stay confident and believe in your preparation. Don't neglect the board syllabus: Remember that JEE Mains is not just about Physics Chemistry and mathematics. It also includes the board syllabus. Don't neglect the board syllabus, as it can help you score well in the exam. Please upvote if it was helpful.