Your location seems to be an Bangladesh and your title of post reflects that you are Indian.... lol Anyway.... don't look for free domains, some host offer you free domains with their hosting package, you can consider such host for getting free domain at cost of hosting.
some forums are there which gives u .com/.net domain etc for posting about 200 posts.... he's from bangladesh but in title may be because of fact that in Internet India represents almost entire indian subcontinent - india,pak,bangladesh,bhutan,nepal,tibet,srilanka as ithas biggest online presense followed by pak..
Here is promo link to have free domain from register.com http://register.com/promo/acquisitions_8772090537.rcmx?trkID=SEMJ78Vw4W but you have to pay for next year or have to move domain before it get expired in next year.