Yes you are eligible to apply for M.Sc in biotechnology course after completing your B.Sc course.
You having physics/biology and zoology stickers in your B.Sc course. So, please don't worry you are definitely eligible for M.Sc in biotechnology.
There is no issue regarding your educational qualification.
To apply for M.Sc in biotechnology , you should be qualified in your graduation course.
You should score minimum 50% of marks in your bachelor degree course. Relaxation will be given upto five percentage of marks for sc/st candidates. There is no a limit for M.Sc course.
Most of M.Sc colleges conducts entrance examination and the admission is given based on your performance in exam.
The candidate who is having biology/physics/zoology may also eligible to apply for M.Sc in biotechnology course