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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 option gives an equivalence relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4,5}), (aRb) holds when (|a-b|) is even. What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a<b\text{ and }b-a\text{ is even}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\le b\text{ and }b-a\text{ is divisible by }2}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a) is less than (b) and (b-a) is even(}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn integers, (aRb) is defined when (a-b) is even. What is the correct conclusion about this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn integers, (aRb) if (a-b) is even and (a\le b). Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a<b\text{ and }b-a\text{ is even}}). Choose the correct option for (R).Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(a,b):a,b \in \mathbb{Z}\text{ and }a-b\text{ is even}}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn the set of integers, the relation (R={(a,b):a-b\text{ is even}}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn integers, define (aRb) if (a-b) is even. Is (R) transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn integers, (aRb) means (a-b) is even. What type of relation is it?Class 12Relations and FunctionsTransitive relationEasy MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is even}}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), let (R={(a,b):a-b\text{ is even}}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationMedium MathematicsWhich option gives a relation that is both symmetric and reflexive?Class 12Relations and FunctionsSymmetric relationMedium MathematicsThe relation (R={(a,b):a-b\text{ is even}}) is given on integers. What is it?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R={(a,b):a-b\text{ is even}}), why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationEasy MathematicsOn (A={1,2,3}), (R={(a,b):a+b\text{ is even}}) and (S={(a,b):a-b\text{ is even}}). Which statement about (R) and (S) is correct?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|) is even(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is even}}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationEasy