For VITEEE you are very much eligibile, according to it's eligibility criteria you should have a minimum of 60% in PCM/PCB in 10+2. BIPC and students of NIOS also give it's entrance exam. But for JEE Mains you need to have maths as your main subject in 12th. But JEE have a separate exam for entrance for courses other than B.tech it is called IIT Jam. You can go for that for admission in biotechnology. You can visit the below given link for more details.

http://jam.iitkgp.ac.in/

Hope it helps.

Thank you