Q73.If A, B and C are three sets such that A ∩B = A ∩C and A ∪B = A ∪C , then (1) A = B (2) A = C (3) B = C (4) A ∩B = ϕ
What This Question Tests
This question tests fundamental properties of set operations, specifically the conditions under which two sets B and C must be equal given equality of their intersections and unions with a third set A.
Concepts Tested
Formulas Used
A ∩ B = {x | x ∈ A and x ∈ B}
A ∪ B = {x | x ∈ A or x ∈ B}
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Properties of set operations
- Year
- 2009
- Shift
- Unknown
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets
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