Delhi

All the colleges you have mentioned, namely VIT, Thapar University, BITS Pilani, Amity University, SRM, DTU, and NIT Bhopal, are considered to be among the top engineering colleges in India and are known for their quality education and infrastructure. However, based on the latest ranking reports, BITS Pilani is considered to be the best among the colleges you have mentioned for Computer Science Engineering (CSE) followed by VIT and DTU. Here are the details:
BITS Pilani: BITS Pilani is ranked #1 among private engineering colleges in India and is also ranked among the top engineering colleges in the country by various ranking agencies such as NIRF, QS World University Rankings, Times Higher Education Rankings, etc. VIT: VIT is ranked #2 among private engineering colleges in India and is also ranked among the top engineering colleges in the country by various ranking agencies such as NIRF, QS World University Rankings, Times Higher Education Rankings, etc. DTU: Delhi Technological University (DTU) is a government-funded university and is ranked #6 among all engineering colleges in India by NIRF. DTU is known for its strong research programs and industry collaborations.

It's difficult to predict whether you will get admission to LBSIM Delhi with a waitlist position of 20, as it depends on various factors such as the number of seats available, the number of candidates accepting their offers, and the movement of the waitlist. However, being at position 20 on the waitlist is a decent position, and there is a possibility that you may get admission if there are enough cancellations or withdrawals from the programme. It's best to wait and keep an eye on the admission process, as the waitlist may move up or down depending on the situation. In the meantime, you can also consider exploring other options and backup plans, just in case you don't get admission to LBSIM Delhi.

When it comes to infrastructure, GB Pant Government Engineering College in Delhi boasts state-of-the-art facilities that cater to the diverse needs of its students across various engineering programs. The campus is spread over a sprawling area, with modern and well-equipped lecture halls, laboratories, and workshops. The college library is a treasure trove of knowledge, with an extensive collection of books, journals, and research papers that cater to the academic needs of the students and faculty alike. - For the Electronics and Communication Engineering programme, the college has advanced electronics and communication labs, including Microprocessors and Microcontrollers Lab, Digital Signal Processing Lab, and Microwave Engineering Lab, among others. The labs are equipped with cutting-edge equipment and software that allow students to gain hands-on experience and stay up-to-date with the latest developments in the field. - Similarly, for the Electrical Engineering programme, the college has well-equipped labs for Power System and Control Systems, among others, that provide students with ample opportunities to learn, experiment, and apply their knowledge to real-world scenarios.

There are a few colleges in Delhi that offer correspondence courses in law. However, the fee structure of these courses may vary from college to college, and it's important to verify the latest fee information from the official websites of the colleges. Here are some colleges in Delhi that offer correspondence courses in law with comparatively lower fees:
Faculty of Law, University of Delhi: The Faculty of Law, University of Delhi, offers a correspondence course in law (LL.B. ) with a course fee of around Rs. 8,000. Indian Law Institute, New Delhi: The Indian Law Institute offers a post-graduate Diploma in various fields of law, including corporate laws and cyber laws, with a course fee of around Rs. 30,000.
Guru Gobind Singh Indraprastha University, Delhi: The university offers a distance learning programme in law (LL.B. ) with a course fee of around Rs. 15,000.
Jamia Millia Islamia, New Delhi: The Centre for Distance and Open Learning at Jamia Millia Islamia offers a post-graduate Diploma in various fields of law, including human rights and intellectual property rights, with a course fee of around Rs. 10,000. It's important to note that the fees mentioned here are approximate and may change from time to time. It's advisable to check the official websites of these colleges or contact the admission departments for accurate and up-to-date information on the fees and admission process.
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Response to you 2nd question:
Correspondence courses are not recognized by the Bar Council of India (BCI) for the purpose of qualifying to practice law in India. In order to become a practicing lawyer in India, you need to complete a recognized law degree program, such as a Bachelor of Laws (LLB) or an integrated law program like BA LLB, from a recognized university or law school.
After completing your law degree, you need to enroll with the Bar Council of India and complete their mandatory apprenticeship or training program. Once you complete your training, you need to pass the All India Bar Examination (AIBE) conducted by the BCI to obtain your license to practice law.
So, to answer your question, a correspondence course in law will not qualify you to practice law and file cases for yourself or others. You must complete a recognized law degree program, complete the training, and pass the AIBE to become eligible to practice law in India.

If you fill the Joint Admission Counselling JAC Delhi form after JEE Advanced 2021, there may be some disadvantages or limitations in terms of choice filling and seat allocation. Here are some potential drawbacks to keep in mind:
Limited seat availability: By the time you fill the JAC Delhi form after JEE Advanced a significant number of seats may have already been allocated to candidates who filled the form earlier. This means that you may have fewer options to choose from during choice filling. Higher cutoffs: If the seats are filling up quickly, the cutoffs for admission may be higher, making it more difficult to secure a seat in your desired college or course. Time constraints: Filling the form after JEE Advanced may give you less time for choice filling and may require quick decision-making, which could potentially lead to a suboptimal choice. However, it's important to note that filling the JAC Delhi form after JEE Advanced is still a viable option and may not necessarily lead to a significant disadvantage. You can still get admission to a good college if you have a strong rank in JEE Advanced and make wise choices during the counseling process.