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Mathematical Reasoning
medium
Negation of $(p \Rightarrow q) \Rightarrow(q \Rightarrow p)$ is
A
$(\sim p) \vee q$
B
$(\sim q) \wedge p$
C
$q \wedge(\sim p )$
D
$p \vee(\sim q )$
(JEE MAIN-2023)
Solution
$( p \rightarrow q ) \rightarrow( q \rightarrow p )$
$\sim[\sim p \rightarrow q \wedge q \rightarrow p ]$
$\Rightarrow p \rightarrow q \wedge \sim q \rightarrow p$
$\Rightarrow \sim p \vee q \wedge q \wedge \sim p$
$\Rightarrow q \wedge \sim p$
Standard 11
Mathematics
