JEE Main 20204 Sep, Morning shiftMathematicsHardMathematical Reasoning115× since 2008Given the following two statements: (S1):(q∨p)→(p↔∼q)\left( {{S_1}} \right):\left( {q \vee p} \right) \to \left( {p \leftrightarrow \sim q} \right)(S1):(q∨p)→(p↔∼q) is a tautology (S2): ∼q∧(∼p↔q)\left( {{S_2}} \right): \,\,\sim q \wedge \left( { \sim p \leftrightarrow q} \right)(S2):∼q∧(∼p↔q) is a fallacy. Then:AOption A. both (S₁) and (S₂) are not correctBOption B. only (S₁) is correctCOption C. only (S₂) is correctDOption D. both (S₁) and (S₂) are correctCheckSkip · show solution