For R = {(1,1), (2,2), (3,3)} on A = {1,2,3}, which statement is correct?
Answer and explanation
Correct answer: यह प्रतिवर्ती, सममित और संक्रामक है
This is the identity relation on A. It is reflexive because every diagonal pair (1,1), (2,2), and (3,3) is present. It is symmetric because reversing any diagonal pair gives the same pair, and it is transitive because a chain such as (a,a) followed by (a,a) again gives (a,a). Thus all three properties hold, making A correct.
Frequently asked questions
What is the correct answer to this question?
यह प्रतिवर्ती, सममित और संक्रामक है
Why is this the correct answer?
This is the identity relation on A. It is reflexive because every diagonal pair (1,1), (2,2), and (3,3) is present. It is symmetric because reversing any diagonal pair gives the same pair, and it is transitive because a chain such as (a,a) followed by (a,a) again gives (a,a). Thus all three properties hold, making A correct.
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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