Dear Ram,
The official Shape of the 2 Rupees National Integration was Eleven Sided.
Please check the Reserve Bank of India's Currency Museum Page, https://rbi.org.in/Scripts/mc_republic.aspx
The coins minted in Foreign mints are almost perfectly Eleven Sided. Some Calcutta/ Kolkata mint coins are also in perfect Eleven Sided too.
But, most of the circulation strikes are not in perfect Eleven Sided But have small flat faces.
Yes, Some perfect round shaped coins are reported too. Those are strikes in the 1 Rupee Copper Nickel planchets or Cut by the Round die used to cut 1 Rupee planchets. Because the size and thickness of the 1 Rupee and 2 Rupees are almost the same. Those round shaped coins are considered error coins only.
I think it will be helpful to you.
Thanks and regards,
Ponpandi.