The proposition $p \Rightarrow \;\sim (p\; \wedge \sim \,q)$ is

  • A

    Contradiction

  • B

    A tautology

  • C

    Either $(a)$ or $(b)$

  • D

    Neither $(a)$ nor $(b)$

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  • [JEE MAIN 2023]

Statement$-I :$  $\sim (p\leftrightarrow q)$ is equivalent to $(p\wedge \sim  q)\vee \sim  (p\vee \sim  q) .$
Statement$-II :$  $p\rightarrow (p\rightarrow q)$ is a tautology.