Which is the identity relation on A = {1, 2, 3}?
Answer and explanation
Correct answer: {(1,1), (2,2), (3,3)}
The governing definition is that the identity relation on a set A contains exactly every ordered pair (a, a) for a ∈ A. For A = {1, 2, 3}, those pairs are (1,1), (2,2), and (3,3), so option B is the identity relation. Option A cycles distinct elements, C gives several images for 1, and D contains no required diagonal pair.
Frequently asked questions
What is the correct answer to this question?
{(1,1), (2,2), (3,3)}
Why is this the correct answer?
The governing definition is that the identity relation on a set A contains exactly every ordered pair (a, a) for a ∈ A. For A = {1, 2, 3}, those pairs are (1,1), (2,2), and (3,3), so option B is the identity relation. Option A cycles distinct elements, C gives several images for 1, and D contains no required diagonal pair.
Which subject and chapter does this question cover?
This is a Class 11 Mathematics question. Chapter: Relations and Functions. Topic: Relations.
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