HI, In COEP- Eligibility :
Candidate should have passed the HSC (Std. XII) examination of Maharashtra State Board of Secondary and Higher Secondary Education or its equivalent with Physics, Chemistry, and Mathematics and having either studied English as one of the subjects or as a medium of the instruction. The candidates should have secured minimum 45% marks in the subjects Physics, Chemistry and Mathematics.
Merit :   Merit of all eligible candidates will be based on the total marks
obtained in Physics, Chemistry and Mathematics in class 12th.

Also You can check the complete details for COEP here: COEP Details

VJTI Eligibility: Most likely it takes through JEE entrances.
You can check the complete details here: VJTI details

All the best.