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📐 Mathematics  ·  Sets  ·  JEE

The symmetric difference A △ B equals (A − B) ∪ :

Answer: (B − A).

  • A (B − A)
  • B (A ∩ B)
  • C (A ∪ B)
  • D (A − B)

Correct answer: A. (B − A)

Explanation: The symmetric difference is (A − B) ∪ (B − A): elements in exactly one of the sets.

Set Operations: Union, Intersection, ComplementUABA∩BOutside both circles = (A∪B)' = A'∩B' (De Morgan)A∪B = everything in either circle; A∩B = only the overlap

A Venn diagram makes set identities visual: A∪B is everything inside either circle, A∩B is only the overlap, and the region outside both circles represents the complement of their union - directly illustrating De Morgan's law (A∪B)′ = A′∩B′.

Concept context

Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range

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