NCERT class 11 maths chapter 2 Relations and Functions
Question 1:If 2 5 1 1 3 3 3 3 x , y – , æ + ö = æ ö ç ÷ ç ÷ è ø è ø , find the values of x and y.
Exercise 2.1 maths class 11 Chapter 2 Relations and Functions
Question 2:If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).
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Question 3:If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G.
class 11 maths solutions Relations and Functions
Question 4:State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P = {m, n} and Q = { n, m}, then P × Q = {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x Î A and y Î B. (iii) If A = {1, 2}, B = {3, 4}, then A × (B Ç f) = f.
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Question 5:If A = {–1, 1}, find A × A × A.
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Question 6:If A × B = {(a, x),(a , y), (b, x), (b, y)}. Find A and B.
class 11 Maths NCERT Solutions Chapter 2 Relations and Functions Exercise 2.1
Question 7:Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that (i) A × (B Ç C) = (A × B) Ç (A × C). (ii) A × C is a subset of B × D.
Exercise 2.1 class 11 Math ncert solutions Chapter 2
Question 8:Let A = {1, 2} and B = {3, 4}. Write A × B. How many subsets will A × B have? List them.
EXERCISE 2.11. If2 5 113 3 3 3
Question 9:Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, find A and B, where x, y and z are distinct elements.
Question 10:The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0,1). Find the set A and the remaining elements of A × A.
