Maths · Sets and functions · chapter 2 of 14

Class 11 Maths Chapter 2: Relations and Functions Assertion-reason questions with answers

2 assertion-reason questions on Relations and Functions, 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.

Question 1
Assertion (A): For the modulus function f, f(−5) = 5. Reason (R): f(x) = −x for every x < 0.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.

R is the definition of |x| for negative x, and it gives f(−5) = −(−5) = 5, so A is true and R explains it.

Question 2
Assertion (A): If n(A) = 3 and n(B) = 4, then A × B has 12 elements. Reason (R): In general, A × B ≠ B × A.
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Answer: (b) Both A and R are true, but R is not the correct explanation of A.

A is true: n(A × B) = n(A) × n(B) = 12. R is also true, as (a, b) ≠ (b, a) in general, but the order of the product says nothing about the count; the count comes from n(A × B) = pq.

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