Well, according to the information I have received from my friends enrolled in both the institutes, I would say that both of these institutes are not that good. 

• The teaching methodologies used are extremely bad, and the alumni network of both colleges is utterly awful.
• If you have a good academic record and are good at understanding concepts then do not consider these colleges.
• I believe that you should work on yourself and improve your skills and knowledge to become an engineer.
• You can opt for a drop year and prepare for the JEE Examinations of the following year.
• Study for a minimum of 3-4 months so that you can at least be eligible for admission at a decent institute, better than these two.

Ensure that you have the appropriate knowledge from the 10+2 education, before applying for admission at colleges. I hope that these suggestions would help you in creating better prospects for your career.

Yes, Asansol Engineering College is undoubtedly a better college than B.C Roy College, considering every factor like placement, infrastructure, etc. The table below gives a brief level of comparison of the institutes.

Key highlights:

• Asansol Engineering College is considered to be one of the top 7 private colleges for engineering in West Bengal. 
• Students from Asansol Engineering College are able to participate in various competitions which are organized by the central government across the country.
• Asansol Engineering College can be compared with reputed private colleges like Techno India Salt Lake, Netaji Subhash Engineering College, Academy of technology, etc.

Therefore, there is no comparison between AEC and B.C. Roy college as discussed in the above points and AEC is clearly a much better institute than B.C Roy college.