Mathematical Reasoning
hard

જો વિધાન $p \to \left( { \sim q \vee r} \right)$ એ મિથ્યા હોય તો વિધાન $p, q, r$  ના સત્યાર્થતાનું મુલ્ય અનુક્રમે ............ થાય  

A

$T, T, F$

B

$F, T, T$

C

$T, F, T$

D

$T, F, F$

(JEE MAIN-2019)

Solution

$P \to \left( { \sim q \vee r} \right)$

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

$\left. \begin{array}{l}
 \sim p \to F\\
 \sim q \to F\\
 \sim r \to F
\end{array} \right\} \Rightarrow \left. \begin{array}{l}
p \to T\\
q \to T\\
r \to F
\end{array} \right\}$

Standard 11
Mathematics

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