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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।

MathematicsOn (A={1,2,3,4}), (a*b=|a-b|) is defined. Is this a binary operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (|a-b|) is divisible by (3). What are the equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn real numbers, (aRb) if and only if (|a-b|<1). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\text{ is even}}). What is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5}), (aRb) holds when (|a-b|\leq 1). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|=2}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\le 1}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|=1}). Which option is correct for (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }|a-b|<1}), is (R) transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\leq2}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationMedium MathematicsIn which relation does the rule guarantee that if ((a,b)\in R), then ((b,a)\in R)?Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3,4}), which statement is correct for (R={(a,b):|a-b|=2})?Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3}), what type is (R={(a,b):|a-b|=1})?Class 12Relations and FunctionsSymmetric relationEasy MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What type of relation is it?Class 12Relations and FunctionsSymmetric relationEasy MathematicsOn (A={1,2,3}), (R={(a,b):|a-b|>0}) is given. What is (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,3,5,7}), (R={(a,b):|a-b|\le 2}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), (R={(a,b):|a-b|=1}). Which statement is correct about (R)?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):|a-b|>0}). Why is (R) not reflexive?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