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Class 12 · Mathematics · Hard
→On real numbers, (aRb) if (a-b) is irrational. What type of relation is (R)?
Class 12 · Mathematics · Hard
→On real numbers, (aRb) if (a-b) is rational. What type of relation is (R)?
Class 12 · Mathematics · Hard
→On real numbers, (aRb) if (a<b<a+2). Is the relation transitive?
Class 12 · Mathematics · Hard
→If (R={(1,2),(2,3),(3,4),(1,3),(2,4)}), which pair must be added to make it transitive?
Class 12 · Mathematics · Hard
→If a relation contains only ((1,2)) and ((3,4)), is it transitive or not?
Class 12 · Mathematics · Hard
→If (R=\varnothing) on a non-empty set (A), which statement about (R) is correct?
Class 12 · Mathematics · Hard
→If a relation (R) contains ((1,2),(2,1)) but not ((1,1)), what can be said about (R)?
Class 12 · Mathematics · Hard
→If (R) is transitive and ((a,b)\in R), ((b,a)\in R), which conclusion is definite?
Class 12 · Mathematics · Hard
→What is the safest method to prove transitivity in hard relation questions?
Class 12 · Mathematics · Hard
→If (R={(1,2),(2,3),(1,3),(3,2),(2,2),(3,3)}), what type is (R)?
Class 12 · Mathematics · Hard
→If (R={(1,2),(2,3),(1,3),(3,2)}), what is the correct reason that (R) is not transitive?
Class 12 · Mathematics · Hard
→If (S) is transitive and (R\subseteq S), is (R) always transitive?
Class 12 · Mathematics · Hard
→If (R) is transitive and (R\subseteq S), is (S) always transitive?
Class 12 · Mathematics · Hard
→If a relation (R) contains ((1,2),(2,3),(3,4)) and (R) is transitive, which group must definitely be in (R)?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4,5}), (aRb) if (a\le b). What type of relation is this?
Class 12 · Mathematics · Hard
→If (R={(a,b):a,b\in\mathbb{R}\text{ and }a\le b+2}), is (R) transitive?
Class 12 · Mathematics · Hard
→If (R={(a,b):a,b\in\mathbb{R}\text{ and }|a-b|<1}), is (R) transitive?
Class 12 · Mathematics · Hard
→If (R={(a,b):a,b\in\mathbb{R}\text{ and }|a|=|b|}), choose the correct option for (R).
Class 12 · Mathematics · Hard
→On sets, (A,R,B) if (A\cap B=\varnothing). Is this relation transitive?
Class 12 · Mathematics · Hard
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