NCERT Class XI Mathematics - Relations and Functions - Solutions
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Question : 16
Total: 36
Determine the domain and range of the relation R defined by
R = {(x, x + 5): x ∈ {0, 1, 2, 3, 4, 5}}.
R = {(x, x + 5): x ∈ {0, 1, 2, 3, 4, 5}}.
Solution:
Given relation is
R = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4, 5}}
= {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}
∴ Domain of R = {0, 1, 2, 3, 4, 5} and
Range of R = {5, 6, 7, 8, 9, 10}.
R = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4, 5}}
= {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}
∴ Domain of R = {0, 1, 2, 3, 4, 5} and
Range of R = {5, 6, 7, 8, 9, 10}.
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