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Question: Answered & Verified by Expert
Let ,{,} be such that (pq)(pq) is a tautology. Then 
MathematicsMathematical ReasoningJEE MainJEE Main 2023 (25 Jan Shift 2)
Options:
  • A =,=
  • B =,=
  • C =,=
  • D =,=
Solution:
1520 Upvotes Verified Answer
The correct answer is: =,=

Given,

,{,} be such that (pq)(pq) is a tautology

Now checking all options by making truth table we get,

Option A =,=

p q (pq) (pq) (pq)(pq)
T T T T T
T F F T F
F T T T T
F F T F F

Option B =,=

p q (pq) (pq) (pq)(pq)
T T T T T
T F F F F
F T T F T
F F T F T

Option C =,=

p q (pq) (pq) (pq)(pq)
T T T T T
T F F T T
F T T T T
F F T F T

Hence, it is a tautology.

Option D =,=

p q (pq) (pq) (pq)(pq)
T T T T T
T F F F F
F T T F F
F F T F F

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