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UGC-NET | UGC NET CS 2018 Dec – II | Question 7

Consider the following two languages: L​1​ = {x | for some y with | y| = 2|x| , xy ∈ L and L is regular language} L2​ = { x | for some y such that |x| = |y| , xy ∈ L and L is regular language} Which one of the following is correct?

(A)

Both L​1​ and L2​ are regular languages

(B)

Both L​1​ and L2​ are not regular languages

(C)

Only L​1​ is regular language

(D)

Only L​2 is regular language

Answer

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