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📐 Mathematics  ·  Sets  ·  JEE

The complement of set A (denoted A') is:

Answer: Elements in U but not in A.

  • A A itself
  • B Elements in A and U
  • C Elements in U but not in A
  • D Empty set

Correct answer: C. Elements in U but not in A

Explanation: A' = U minus A, i.e., all elements of the universal set U that are not in A.

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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