JEE Main · 2021 · 24 Feb 2021 · Shift 2 · Mathematical Reasoning *

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The negation of the statement is:
  1. (A)
  2. (B)
  3. (C)✓ Correct
  4. (D)

Answer: (C)

Solution

By De Morgan's law, . Distributing the disjunction over the conjunction, , and is always true, so the whole expression reduces to .

JEE Main · 2021 · 24 Feb 2021 · Shift 2 · Single correct option

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