Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, y) : 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and range

Solution:

The relation R from A to A is given as R = {(x, y), 3x - y = 0; x, y ∈ A}.

Thus, R = {(x, y), 3x = y; x, y ∈ A}.

Therefore,

R = {(1, 3), (2, 6), (3, 9), (4, 12)}

The domain of R is the set of all first elements of the ordered pairs in the relation.

Hence, Domain of R = {1, 2, 3, 4}

The whole set A is the co-domain of the relation R.

Therefore, Co-domain of R = A = {1, 2, 3,...., 14}

The range of R is the set of all second elements of the ordered pairs in the relation.

Therefore, Range of R = {3, 6, 9, 12}

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.2 Question 1

Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, y) : 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and range

Summary:

The A = {1, 2, 3,...., 14} is given. We have found that range of R = {3, 6, 9, 12} and Co-domain of R = A = {1, 2, 3,...., 14}