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Class 12 · Mathematics · Hard
→If (R={(a,b):a,b\in\mathbb{Z}\text{ and }a+b\text{ is even}}), which option is correct for (R)?
Class 12 · Mathematics · Hard
→On integers, (aRb) if (a-b) is divisible by (4). What type of relation is it?
Class 12 · Mathematics · Hard
→If (R={(1,2),(2,3),(1,3),(3,1)}), why is (R) not transitive?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4),(1,4)}). Choose the correct statement about (R).
Class 12 · Mathematics · Medium
→What is the best method to check a transitive relation in a medium-level exam question?
Class 12 · Mathematics · Medium
→If (R) is transitive and ((1,2)\in R), ((2,4)\in R), ((4,8)\in R), which pair must definitely be in (R)?
Class 12 · Mathematics · Medium
→If (R={(1,2),(2,1),(1,1)}), which minimum pair must be added to make it transitive?
Class 12 · Mathematics · Medium
→In a relation like the previous type, what should be the conclusion if all required pairs are present?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,1),(1,2),(2,1),(2,2),(2,3),(1,3)}). Is (R) transitive?
Class 12 · Mathematics · Medium
→If a relation has only the pair ((5,5)), is it transitive or not?
Class 12 · Mathematics · Medium
→If (R) is reflexive and symmetric, is it definitely transitive?
Class 12 · Mathematics · Medium
→If (R) is transitive and ((a,b)\in R), ((b,c)\in R), ((c,d)\in R), which conclusion is definite?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,2),(2,3),(3,3)}). Which conclusion is correct?
Class 12 · Mathematics · Medium
→If (R={(1,1),(1,2),(2,3),(1,3),(3,3)}), is (R) transitive?
Class 12 · Mathematics · Medium
→Which option is a correct example of a transitive relation?
Class 12 · Mathematics · Medium
→If a relation (R) contains ((1,2)), ((2,1)), ((1,1)), and ((2,2)), which pair is required because of ((1,2)) and ((2,1))?
Class 12 · Mathematics · Medium
→If (R={(a,b):a,b \in \mathbb{R}\text{ and }a>b}), what type of relation is (R)?
Class 12 · Mathematics · Medium
→Choose the correct option for (R={(a,b):a,b \in \mathbb{R}\text{ and }a\ge b}).
Class 12 · Mathematics · Medium
→If (R={(1,2),(3,1),(3,2)}), what is the correct statement about (R)?
Class 12 · Mathematics · Medium
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