Verified Solution • 2025–26 Session
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QJEEM09Mab42b: JEE Main 2009 Mathematics - Class 11 JEEM09Mab42b Solution: If and are three sets such that and , then :
If and are three sets such that and , then :
Multiple Choice Options
- A
- B
- C
- D
Step-by-Step Verified Solution
From the given conditions, we have :
A ∩ B = A ∩ C : The intersection of set A with set B is the same as the intersection of set A with set C. This indicates that all elements common to A and B are also common to A and C, and vice versa.
A ∪ B = A ∪ C : The union of set A with set B is the same as the union of set A with set C. This indicates that all elements in A, B, and C are the same.
From these two conditions, we can infer that set B is equal to set C because every element of B is also an element of C and vice versa. Hence, Option B : B = C is the correct answer.