IIT

You need to score a rank under 1500.

You need to give JEE advance.

The fees for the same will be high for you than other students.

The simple answer is NO.

If you have confidence in yourself, then take a drop; otherwise go with a private college.

Yes, it is a right decision if you believe in yourself and if you will stay focused and disciplined in the drop year you will surely crack JEE next year.

Hello!
UCCEED examination is of total 300 marks. Out of these total 300 marks, you got 140 and you are of OBC category, For OBC category student, in general, 40th percentile marks is needed for qualifying in the UCEED examination. So, for this month you will not even get the IIT Hyderabad seat for a master degree in design. You can immigrate for state in universities or top private college to take admission in this course. I Hope this will help.

For NITs: JEE Main for IIT: JEE Advanced for IIIT: JEE Mains.

NIT or IIT don't have B. Tech through the lateral entry you can give exam for entry in 4-year engineering, there are other good colleges like DTU and Thapar which provides lateral entry.

Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu
Lovely Professional University, Phagwara, Jalandhar
Vellore Institute of Technology, Vellore, Tamil Nadu -
SRM
Amity is a few of the top-ranking private universities. LPU is ranked 62nd on the list of all the government and private universities of the country. University's Engineering School is ranked 66th, Management School is ranked 37th, Pharmacy School is ranked 23rd, Architecture is ranked 12th, and Law School is ranked 24th amongst all Government and Private Universities in India.