Close. You have a / in the wrong place. Try changing:
sed '/^/\/\abc/d'
to
sed '/^\/\/abc/d'
Note to vidyadhar85:
You can change the delimiter in a substitute command just be using the desired character (other than backslash ( \ ) and <newline>) where the delimiter goes. But in a context address, if you want to use anything other than slash ( / ) as the delimiter, you need to escape the 1st delimiter with a backslash. So, the sed command to do the above using # as the delimiter would be: