Class 11 Maths Chapter 1: Sets Assertion-reason questions with answers
2 assertion-reason questions on Sets, each with its answer and the reason, written from the NCERT chapter. For school exams on the CBSE pattern and JEE Main, which are set from the same NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter. Each question gives an Assertion (A) and a Reason (R); choose how they stand to each other.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.
Both are true. An element common to A − B and B − A would have to be outside B and inside B at once, which is impossible, so R is exactly why (A − B) ∩ (B − A) = φ.
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Answer: (b) Both A and R are true, but R is not the correct explanation of A.
The set is {L, E, V}, so A is true; R is also true. But A follows from the rule that a repeated element is listed only once, not from the order being immaterial.