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Mathematical Reasoning
medium
બુલિયન સમીકરણ $p \vee(\sim p \wedge q )$ નું નિષેધ .......... ને સમતુલ્ય થાય
A
$\sim p \vee \sim q$
B
$\sim p \vee q$
C
$\sim p \wedge \sim q$
D
$p \wedge \sim q$
(JEE MAIN-2020)
Solution
Negation of $\phi \vee(\sim p \wedge q )$
$p \vee(\sim p \wedge q )=( p \vee \sim p ) \wedge( p \vee q )$
$=(T) \wedge(p \vee q)$
$=(p \vee q)$
now negation of $( p \vee q )$ is
$\sim( p \vee q )=\sim p \wedge \sim q$
Standard 11
Mathematics