RE : 0*(10)* (in question)
Here is a trick for option B) and C)
B) 0+(0+10)+
C) (0+1)*10(0+1)*
Both of these cannot accept Empty set or Empty Strings 0*(10)* can and for option a you need a check.
A) (1*0)*1* vs RE:0*(10)*(in question) A can generate "11" but given RE can't
as provided by Arjun Sir.