I would like to clear my arrears in BBA

In most of the Indian universities, generally a total time of 6 years is provided to complete the course by clearing the backlog. So if a student has joined in the year 2004, he has to complete it at least by the year 2010.

So, I am afraid, you do not stand a chance to clear your backlogs at the present juncture.

In case if a student had some severe health problem or due to bad financial conditions of his family had to join a job to support the dependents then as a special case the college administration can allow him to clear the backlog at a later time also. But these things are rare and the college administration will only do it after ascertaining the facts of the case.

A student pursuing an undergraduate programme which normally runs for three, or four years will be allowed two more years to clear his back papers. In the same way, the post-graduate students will also be given as many years to clear their backlog. In some exceptional circumstances, a further extension of one more year may be granted.
In your case, it is already more than 10 years. By this time there may be many changes and new regulations might have come into existence. So chances are remote.
Anyhow you can make a try by writing to the University Vice-Chancellor about the reasons for not clearing the subjects so many years and you can pray for his consideration to allow him and he may consider if he feels that the reasons mentioned are unavoidable and there is no way for you to attend the examination. But it is a very rare case.
In such a case, you have to write all the subjects as a fresh student and as a private candidate.