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Mathematics · JEE I SETS

हिन्दी

For any three sets \( A, B, \) and \( C \), the expression \( A \cap (B \cup C) \) is identically equal to:

  1. A
    \( (A \cup B) \cap (A \cup C) \)
  2. B
    \( (A \cap B) \cap (A \cap C) \)
  3. C
    \( (A \cup B) \cup (A \cup C) \)
  4. D
    \( (A \cap B) \cup (A \cap C) \)
View Answer & Solution

Correct answer · Option D

\( (A \cap B) \cup (A \cap C) \)

Explanation

By the distributive law of intersection over union, \( A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \).
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