MCQ
If A, B, C be three sets such that $\text{A } \cup \text{ B}=\text{A } \cup \text{ C}$ and $\text{A } \cap \text{ B}=\text{A } \cap \text{ C},$ then,
  • B = C
  • B
    A = C
  • C
    A = B = C
  • D
    A = B

Answer

Correct option: A.
B = C
Given A, B, C be three sets such that $\text{A } \cup \text{ B}=\text{A } \cup \text{ C}$ and $\text{A } \cap \text{ B}=\text{A } \cap \text{ C},$ then, B = C

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