Online application may not be effective. Try to get in touch directly with your local telephone exchange who will give you the contact info of your local LCO/vendor who will take care of delivering the connection to you.
Just got a call from BSNL customer service. They have generated a request and given me an application number. They said the concerned person will contact me, "no need to go anywhere" Those were the exact words.
It seems BSNL employees are feeling the heat this winter
I also got the same contact response with application number when I applied online 5 months ago. I also got a callback saying someone will check feasibility and get back to me (when I already know it was available in my society) but nobody called after that.
So I just got my LCO contact from society office and directly spoke to him. He took care of bringing the application form and collecting the filled out form and did the installation a few days later. I never was in touch with BSNL office and did not have to go there at all.