Since you're a PCM student for getting B.Tech Biotechnology you can easily apply for IIT Mains. A lot of IITs and NITs have B.Tech in Biotechnology. The eligibility for getting a govt. College is min 75% in boards and respective merit in JEE Mains and Advance.

There are many other private colleges also for  B.Tech Biotechnology for example DY Patil College of Bioinformatics and Biotechnology. You can apply for MH CET and get into this college.