🛠️ JEE➗ Maths

Consider the two statements : \( \left(S_{1}\right):(p \rightarrow q) \vee(\sim q \rightarrow p) \) is a tautology \( \l…

Q1

Consider the two statements :

\( \left(S_{1}\right):(p \rightarrow q) \vee(\sim q \rightarrow p) \) is a tautology

\( \left(S_{2}\right):(p \wedge \sim q) \wedge(\sim p \vee q) \) is a fallacy Then,

a

only \( \left(S_{1}\right) \) is true

b

both \( \left(S_{1}\right) \) and \( \left(S_{2}\right) \) are false

c

both \( \left(S_{1}\right) \) and \( \left(S_{2}\right) \) are true

d

only \( \left(S_{2}\right) \) is true

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