Let $F_{1}(A, B, C)=(A \wedge \sim B) \vee[\sim C \wedge(A \vee B)] \vee \sim A$ and $F _{2}( A , B )=( A \vee B ) \vee( B \rightarrow \sim A )$ be two logical expressions. Then ...... .

  • [JEE MAIN 2021]
  • A

    $F _{1}$ and $F _{2}$ both are tautologies

  • B

    $F _{1}$ is a tautology but $F _{2}$ is not a tautology

  • C

    $F _{1}$ is not tautology but $F _{2}$ is a tautology

  • D

    Both $F _{1}$ and $F _{2}$ are not tautologies

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