JEE

Based on your expected rank of 32-34 thousand, here are some options for you in terms of Computer Science and Engineering (CSE) or Information Technology (IT) programs in NITs (National Institutes of Technology) and IIITs (Indian Institutes of Information Technology):

NITs:

1. NIT Arunachal Pradesh:

   • CSE: C.S.A B round
   • Expected rank cutoff: 27,307-36,833

2. NIT Mizoram:

   • CSE: C.S.A B round
   • Expected rank cutoff: 37,014

3. NIT Srinagar:

   • IT: C.S.A B round
   • Expected rank cutoff: 31,106
4. NIT nagaland 
5. NIT manipur

Please note that the options in NITs might be limited to the North East NITs and specific rounds, such as C.S.A B.

IIITs:

1. IIIT Ranchi: CSE
2. IIIT Una: CSE
3. IIIT Sricity: CSE
4. IIIT Kurnool: CSE
5. IIIT Kalyani: CSE
6. IIIT Dharwad: CSE
7. IIIT Kottayam: CSE
8. IIIT Bhagalpur: CSE
9. IIIT Bhopal (if lucky): CSE
10. IIIT Nagpur (if lucky): CSE

These are some of the options you have for CSE or IT programs in IIITs. Please keep in mind that admission and availability might vary, and it's always recommended to refer to the official websites of these institutes for the most accurate and up-to-date information on admissions and cutoff ranks.

It would be difficult for you to get goverment colleges with this rank you must try for some private collages 

• Manipal Institute of Technology (MIT)
• Birla Institute of Technology and Science, Pilani - Hyderabad Campus (BITS Pilani Hyderabad Campus)
• Thapar Institute of Engineering and Technology (Thapar University)
• Amrita Vishwa Vidyapeetham (Amrita University)
• Delhi Technological University (DTU)
• SRM Institute of Science and Technology (SRMIST)
• Vellore Institute of Technology (VIT)
• National Institute of Technology, Tiruchirappalli (NIT Trichy)
• Jaypee Institute of Information Technology (JIIT)
• Kalinga Institute of Industrial Technology (KIIT)
• VIT University (Vellore)

you can go with these

Considering the previous year cut off it is quite difficult to get seat in NIT or IIIT with the given rank. Your category rank must be under 8000 to have decent chances of getting seat in an NIT or IIIT. As your rank is above 8000 you may not get seat in NIT or IIIT. However, you may get seat in a college through state counselling. In states like Maharashtra, Uttar Pradesh, Uttara Khand, Madhya Pradesh admission in to Engineering courses is based on merit in JEE Main. You can apply for admission in to such colleges if you fulfill the eligibility criteria.

The cut off changes every year depending on the total number of candidates appeared, difficulty level of examination and total number of seats available etc.