UGC NET CSE | December 2025 | Part 2 | Question: 51

Question

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: If $L$ is regular, then its compliment $L^{\prime}$ is necessarily regular.

Reason R: Complement of a language can be obtained by swapping final and non-final states in a DFA.

In the light of the above statements, choose the most appropriate answer from the options given below

• A. Both $\mathbf{A}$ and $\mathbf{R}$ are correct and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
• B. Both $\mathbf{A}$ and $\mathbf{R}$ are correct but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$
• C. $\mathbf{A}$ is correct but $\mathbf{R}$ is not correct
• D. $\mathbf{A}$ is not correct but $\mathbf{R}$ is correct

Answer 1

1. Both A and R are correct and R is the correct explanation of A