## Important Questions Class 11 Maths Chapter 2 Relations and Functions

Q1. 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.

Q2. Assume that A = {1, 2, 3,…,14}. Define a relation R from A to A by R = {(x, y) : 3x – y = 0, such that x, y ∈ A}. Determine and write down its range, domain, and codomain.

Q3. Find the domain and range of the real function f(x) = x/1+x^{2}.

Q4. Find the domain of the real function f(x) = 1/(1 – x^{2}).

Q5. The ordered pair (5, 2) belongs to the relation R ={(x, y): y = x – 5, x, y∈Z}