Dear Sir,

My roll no is 17873204 (OBC category) is failing by one mark but this is due to mistake of UGC NET.

Here with I am giving details, pls tell me what should I do

For question number 43 there are two correct options (B) and (D) but in your answer key (UGC NET) it is shown only (D). I opted (B). Here I am giving the proof.

Answer (D)= a*b(b*+aa*b)* = a*b((b*)*+(aa*b)*)*     (By using (P+Q)*=(P*+Q*)*)
                                                        

                                               = a*b(b*+(aa*b)*)*         (By using (R*)*=R*)
                                
                                               =a*b(b+(aa*b))*             (By using (P+Q)*=(P*+Q*)*)
                                 
                                               =a*b(b+aa*b)*

                                               = Answer (B) It means both are equivalent so they will generate same language which is generated by Finite State Machine. It can be verified by any expert.

Regards

om pal