Hey! Hi Sumit.
Well there are many colleges which offer Aerospace Engineering and Aeronautical Engineering like IITs, and Several Other Government Institutes. Some of them are:
1. IIEST SHIBPUR (Admission through JEE MAIN)
2. PEC CHANDIGARH (Admission through JEE MAIN)
3. IIST, Thiruvananthapuram (Admission through JEE ADVANCED).
4. Several IITs ( Admission through JEE ADVANCED).
Hope this helps you.
Thanks.
Regards.

Hey Sumeet

thankyou for contacting career 360

for appearing in aerspace engineering you should have completed your 10+2 with PCM as your subjects....

Then you have to appear for entrance examsss ..List of some colleges are

https://engineering.careers360.com/colleges/list-of-be-btech-in-aeronautical-engineering-colleges-in-india