
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Miscellaneous
Misc 2 (i)
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Misc 2 (iv)
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Misc 10 Important You are here
Question 1 Deleted for CBSE Board 2024 Exams
Question 2 Important Deleted for CBSE Board 2024 Exams
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Question 4 Deleted for CBSE Board 2024 Exams
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Last updated at June 26, 2023 by Teachoo
Misc 10 Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = ∅. A ∩ B should be non-empty, i.e. there should be some common element between A & B Similarly, B ∩ C should be non-empty, i.e. there should be some common element between B & C A ∩ C should be non-empty, i.e. there should be some common element between A & C Also, given that A ∩ B ∩ C is a null set, i.e. there should be not be any element common between A, B & C Let A = {0, 1}, B = {1, 2}, and C = {2, 0}. Now, A ∩ B = {1}, B ∩ C = {2}, and A ∩ C = {0}. ∴ A ∩ B, B ∩ C, and A ∩ C are non-empty. However, A ∩ B ∩ C = ∅