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Sets — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSSets1 Mark
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,
  • A
    B = C
  • B
    A = C
  • C
    A = B = C
  • D
    A = B
✓

Answer

  1. B = C

Solution:

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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