Hello Nagarjun, 

First of all let me tell you, even if you do your SSLC in correspondence, the Institute should be affiliated to Central Government. After getting your passing certificate from the Board under which you appeared, you can apply for further studies of 10+2 standard by producing your pass certificate. You have a lots of scope after passing 10+2 so it is highly recommend to complete your 10+2 with good marks. Correspondent SSLC is not that of an issue, but in some States they ask for regular mode. So you check the eligibility of you state HSC enrollment procedure and they don't ask for regular mode, try to complete your 10+2.

I hope I have answered your query. Good luck. !