The negation of the compound statement $^ \sim p \vee \left( {p \vee \left( {^ \sim q} \right)} \right)$ is
The negation of the compound statement $^ \sim p \vee \left( {p \vee \left( {^ \sim q} \right)} \right)$ is
- A
$\left( {^ \sim p \wedge q} \right) \wedge p$
- B
$\left( {^ \sim p \wedge q} \right) \vee p$
- C
$\left( {^ \sim p \wedge q} \right){ \vee \,^ \sim }p$
- D
$\left( {^ \sim p{ \wedge ^ \sim }q} \right){ \wedge \,^ \sim }q$
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Statement $-1 :$ $\sim (p \leftrightarrow \sim q)$ is equivalent to $p\leftrightarrow q $
Statement $-2 :$ $\sim (p \leftrightarrow \sim q)$ s a tautology
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- [AIEEE 2009]