JEE

Yes, you can go for private colleges such as SRM University, Avantika University, KIIT University, Manipal University, Vel Tech University, Satyabama University and many more.

Joint Entrance Exam is for entry in engineering colleges of India. Top engineering colleges of India- IITs and NITs select candidates based on its score. Other state engineering institutes also accept its score for admissions.

Apart from JEE exams, you can look for colleges which are accepting scores from state engineering colleges. You can check with respective colleges for admissions. You can check the list on https://Shiksha.com based on annual fees.

Kindly mention the engineering branch.

No, IITs do not accept any other entrance exam.

You must not get demotivated because of your one failure. You are advised to continue with your education by first completing 10th and then 12th board. You may put extra effort and try to overcome your weaknesses in subjects you have failed in 10th. In the mean time you can continue with your JEE

Thapar University is one of the deemed universities you can opt for.

Yes, that would be better.

It is a previous pattern in UPSEE that you may see in the previous year question papers but this year, pattern is 50 questions each from PCM that is total 150 questions and each correct answer carries 4 marks and there will be no negative marking.
You have to score less than 30k rank to get admission

Graphic Era, DIT, Uttaranchal Institute Of Technology, College of Engineering, Roorkee are some good colleges according to your rank and marks.