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Class 12MathematicsRelations and FunctionsTransitive relationEasyLevel 13

On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}) is given. Is (R) transitive?

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Answer and explanation

Correct answer: Yes

Step 1: Here ((1,2)) and ((2,3)) are connected pairs. Step 2: They require ((1,3)), and it is already present in the relation. Step 3: For transitivity checks, find the pair that is forced and then look for it in the list.

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transitive relationordered pairseasy mcq

Frequently asked questions

What is the correct answer to this question?

Yes

Why is this the correct answer?

Step 1: Here ((1,2)) and ((2,3)) are connected pairs. Step 2: They require ((1,3)), and it is already present in the relation. Step 3: For transitivity checks, find the pair that is forced and then look for it in the list.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Relations and Functions. Topic: Transitive relation.

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10 more MCQs
  1. 1Which is the correct definition of a transitive relation?
  2. 2On (A={1,2,3}), (R={(1,2),(2,3)}). Why is (R) not transitive?
  3. 3On natural numbers, relation (R) is defined by (aRb) if (a\le b). What is (R)?
  4. 4On real numbers, (R={(a,b):a<b}). Is (R) transitive?
  5. 5On (A={1,2,3}), (R={(1,1),(2,2),(3,3)}) is given. Choose the correct statement about (R).
  6. 6Is the empty relation (\varnothing) on a set (A) transitive or not?
  7. 7Why is the universal relation (A\times A) on a set (A) transitive?
  8. 8On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4)}). Is (R) transitive or not?
  9. 9On (A={1,2,3,4}), which pair must be added to make (R={(1,2),(2,4)}) transitive?
  10. 10On integers, relation (R) is defined by (aRb) if (a=b). What type of relation is it?
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