Hey Rohit,
You need to answer many questions before embarking onto such a journey.
If you are a fresher, then how are you going to proove your prowess in testing? I dont think any major software company recognizes the training offered in any institue. What you can do is, probably, appear for a CSTE -
LINK, after getting training from these institutes. Or search more relevant institutes. Also look at -
http://www.qaiindia.com/
Even then, I doubt companies look into the demands of freshers, and where they want to position themselves. Probably after you have spent an year or so in the industry, try doing such certifications and align yourself to that aspect of Software Life Cycle.
As it is, how much you reaaly know about testing is also questionable. There are so many types of them, and it's a surity that every project will incorporate only one of them. Plus, with testing, you will need an in depth knowledge of the tools you are testing, probably better than the developers themselves.
My suggestion - get into Software. Talk to Project Managers and Team Leaders about your interests, and they can better hook you up. As a fresher, how much leverage will you gain, by doing a course, is highly questionable...