Mathematical Reasoning
hard

साध्य $\sim(p \vee \sim q) \vee \sim(p \vee q)$ तार्किक रूप में जिसके तुल्य है, वह है

A

$p$

B

$q$

C

$\sim p$

D

$\sim q$

(JEE MAIN-2014)

Solution

Given $ \sim \left( {p \vee  \sim q} \right) \vee  \sim \left( {p \vee q} \right)$

$ \equiv \left( { \sim p \vee q} \right) \vee  \sim \left( {p \vee  \sim q} \right)$

$ \equiv  \sim p \vee \left( {q \vee  \sim p} \right)$

$ \equiv  \sim p$

Standard 11
Mathematics

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