You will have to give Jee main and ICAR exam as there are the national level exams to get seat in B.Tech in Agricultural Engineering.

State Level exams are mentioned below -

BCECE

UPSEE

JKCET

TS/AP EAMCET

COMEDK UGET

KCET

KEAM

RPET

CGPET

JCECE

WBJEE

GOA CET

Tripura JEE

ASSAM CEE

GUJCET

IPUCET etc.

Hope this helps!!!

In order to take admission in B.tech programme for agriculture engineering you can appear for below exams-

1- JEE Main

2- JEE Advanced

3- BITSAT

4- VITEEE

5- SRM

6- Amrita

7- Manipal

8- State level entrance exam

To know more about the entrance exams you can refer below link

List of engineering exam

Do you have any other doubt?