NCERT Class XI Mathematics - Relations and Functions - Solutions
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Question : 13
Total: 36
A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.
Solution:
We have, A = {1, 2, 3, 5} and B = {4, 6, 9}
R = {(x, y) : difference between x and y is odd; x ∈ A, y ∈ B}
= {(x, y) : y – x = odd; x ∈ A, y ∈ B}
Hence R = {(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)}.
R = {(x, y) : difference between x and y is odd; x ∈ A, y ∈ B}
= {(x, y) : y – x = odd; x ∈ A, y ∈ B}
Hence R = {(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)}.
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