Verified Solution • 2025–26 Session moderate

QJEEM19Maa3ac: JEE Main 2019 Mathematics - Class 11 JEEM19Maa3ac Solution: If p (q r) is false, then the truth values of p, q, r are…

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

Multiple Choice Options

  • A F, F, F
  • B T, F, F
  • C F, T, T
  • D T, T, F

Step-by-Step Verified Solution

p →\to (q ∨\vee r)

= ∼\sim p ∨\vee (q ∨\vee r)

∼\sim p ∨\vee (q ∨\vee r) is false when

(1) ∼\sim p = False ⇒\Rightarrow P = True

and (2) (q ∨\vee r) is false ⇒\Rightarrow q and r both are false.

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