If p - q - r is false- then the truth values of p - q - r are respectively-A- T - T - FB- F - T - TC- T - F - FD- F- F- F

P ⇒ (q r) is false when p is true and q r is false. q r is false when both q and r are false. Therefore, truth values of p,q,r are respectively T,F,F. ...

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Standard XII

Mathematics

Implication

If p ⇒ q ∨ r ...

Question

If $p \Rightarrow (q \lor r)$ is false, then the truth values of $p, q, r$ are respectively :

F, T, T

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T, T, F

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T, F, F

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F, F, F

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Solution

The correct option is C $T, F, F$
$p \Rightarrow (q \lor r)$ is false when $p$ is true and $q \lor r$ is false.
$q \lor r$ is false, when both $q$ and $r$ are false.
Therefore, truth values of $p, q, r$ are respectively $T, F, F$

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If p⇒(q∨r) is false, then the truth values of p,q,r are respectively :

The correct option is C T,F,Fp⇒(q∨r) is false when p is true and q∨r is false. q∨r is false, when both q and r are false. Therefore, truth values of p,q,r are respectively T,F,F

If $p \Rightarrow (q \lor r)$ is false, then the truth values of $p, q, r$ are respectively :

The correct option is C $T, F, F$
$p \Rightarrow (q \lor r)$ is false when $p$ is true and $q \lor r$ is false.
$q \lor r$ is false, when both $q$ and $r$ are false.
Therefore, truth values of $p, q, r$ are respectively $T, F, F$