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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich three properties are required for a relation on a set to be called an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsIn (A={1,2,3,4}), for the same parity relation, what is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf (R) is an equivalence relation, what is the equivalence class of an element (a)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf ((a,a)\in R) for every (a\in A), which property is this?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn integers, (aRb) if (a\equiv b \pmod{3}). How many equivalence classes are there?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsWhich statement about two transitive relations R and S on the same set is not necessarily true?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn (A={1,2,3,4,5}), (R={(1,3),(3,5),(2,4),(1,5)}). Which conclusion is correct?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsA relation (R) on a set is transitive. If ((a,b) \in R), ((b,c) \in R), and ((c,d) \in R), which ordered pair must definitely be in (R)?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(4,3),(1,4),(2,3)}). Which ordered pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsA relation (R) on a set is transitive. If ((p,q) \in R), ((q,r) \in R), and ((r,s) \in R), which pair must definitely be in (R)?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,4)}). Choose the correct statement about this relation.Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a) divides (b}). Which option correctly shows a transitivity check?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn the set (A={1,2,3}), the relation (R={(1,2),(2,3),(1,1)}) is given. Which ordered pair must be added at minimum to make it transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(1,3),(2,2),(2,3),(3,3)}) is given. What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3)}). Which pair is definitely required to satisfy transitivity?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). Which pair must be added in the transitive closure of (R)?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Which minimum pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsIf (R={(1,1),(1,2),(2,2),(3,1)}), which pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(1,2),(2,3),(3,4),(1,3),(2,4)}), which missing pair breaks transitivity?Class 12Relations and FunctionsTransitive relationLevel 14Hard