Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by{(a, b): a, b ∈ A, b is exactly divisible by a}
(i) Write R in roster form (ii) Find the domain of R (iii) Find the range of R

Solution:

It is given that A = {1, 2, 3, 4, 6} and

R = {(a, b) : a, b ∈ A, b is exactly divisible by a}

The domain of a function is the set of all possible inputs for the function.

The range of a function is the set of all its outputs.

(i) R

= {(1, 1), (1, 2), (1, 3), (1, 4), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (6, 6)}

(ii) Domain of R

= {1, 2, 3, 4, 6}

(iii) Range of R

= {1, 2, 3, 4, 6}

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.2 Question 5

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b) : a, b ∈ A, b is exactly divisible by a} (i) Write R in roster form (ii) Find the domain of R. (iii) Find the range of R

Summary:

The relation on A defined by {(a, b) : a, b ∈ A, b is exactly divisible by a} and A = {1, 2, 3, 4, 6} is given. We have found that Domain of R = {1, 2, 3, 4, 6} and Range of R = {1, 2, 3, 4, 6}