Agricultural Engineering

Please visit this link-
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/upsee-college-predictor&ved=2ahUKEwjEw_fS5IbiAhX_6nMBHRRfARgQFjAIegQIARAB&usg=AOvVaw35nIYCmB-o81pLl73rIIvk

Firstly, you have to qualify for JEE Mains or go for some private colleges.
Here is the list of agricultural engineering colleges:
https://www.shiksha.com/b-tech/colleges/b-tech-in-agriculture-farm-engineering-colleges-india.

According to me you should go for B.Tech biotech as the company will place you right after you come in the 3rd year.

Dear Aritra,
B.E. / B.Tech. (Biotechnology) has a varied field which has broad spectrum of Life Sciences but B.E. / B.Tech. (Agricultural Engineering) will be focused only in Agricultural Field, Technologies required for it, Techniques for be used for it. So, scope is narrowed only to it.

Yes, you can get admission in agriculture engineering, it does no matter whether you are from maths background as in engineering, maths is demanded and also in this you get to know about the agriculture field's applications in engineering.

Hello Aritra Chandra,
There are plenty of colleges offering this branch across breadth of India. But of course restrictions put in place by each state government applies and as a result issues of domicile and state government's CET will also come in. Of course deemed to be universities have their own exams and give admission on pan India basis. I am attaching a link that will give you all the required information about different colleges offering this branch:
https://www.shiksha.com/b-tech/colleges/b-tech-in-agriculture-farm-engineering-colleges-india

Hello Aritra Chandra,
I think maths is compulsory subject for joining any branch of engineering including agricultural engineering. If one has taken biology as additional subject, it is welcome but not mandatory.