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Mathematical Reasoning
hard
कथन $(\mathrm{p} \wedge(\sim \mathrm{q})) \Rightarrow(\mathrm{p} \Rightarrow(\sim \mathrm{q}))$ है
A
$(\sim \mathrm{p}) \vee(\sim \mathrm{q})$ के तुल्य है
B
पुनरूक्ति
C
$p \vee q$ के तुल्य है
D
व्याघात
(JEE MAIN-2023)
Solution
$( p \wedge \sim q ) \rightarrow( p \rightarrow \sim q )$
$\equiv(\sim( p \wedge \sim q )) \vee(\sim p \vee \sim q )$
$\equiv(\sim p \vee q ) \vee(\sim p \vee \sim q )$
$\equiv \sim p \vee t \equiv t$
Standard 11
Mathematics
