Automnobile engineering is a pretty new curriculam, so many of the JoSAA affiliated colleges donot provide such oppertunity as many of those colleges are still having a pretty old curriculum.

But if you are intersted towards Automobile stuff, the I you can take Mechanical stream or even Electrical engineering considering the advent of electric vehicles.

Regarding, specially studying automobile engineering, I would recommend you to

1. NSIT Delhi

2. VIT Vellore

3. Few colleges in Banglore

Thank You