JEE Main 202229 JuneMorning Shift
- Exam
- JEE Main
- Year
- 2022
- Date
- 29 June
- Shift
- Morning Shift
- Subject
- Mathematics
- Chapter
- Mathematical Reasoning
JEE Main 2022 · 29 June · Morning Shift · Mathematics · Mathematical Reasoning
Let Δ ∈ \ ∧ , ∨ , ⇒ , ⇔\ be such that (p ∧ q)Δ ((p ∨ q) ⇒ q) is a...
Let be such that \left(p ∧ q\right)\Delta is a tautology. Then is equal to
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
p ∨ q ⇒ q≡ ~ \left(p ∨ q\right) ∨ q≡ \left(~ p ∧ ~ q\right) ∨ q≡ \left(~ p ∨ q\right) ∧ \left(~ q ∨ q\right)≡ \left(~ p ∨ q\right) ∧ t ≡ ~ p ∨ q
Hence, should be