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Strict Inequality

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

MathematicsOn all real numbers, (aRb) if and only if (|a|<|b|). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn real numbers, (aRb) if (a<b). Choose the correct reason for transitivity of (R).Class 12Relations and FunctionsTransitive relationHard MathematicsOn real numbers, (aRb) if (a^2<b^2). Which statement is correct for (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a^2+b^2<2ab}), is (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):(a-b)^2>0}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={-2,-1,0,1,2}) and (R={(a,b):ab<a^2}), is (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={-2,-1,0,1,2}), (R={(a,b):a^2+b^2<k}). What is the minimum integer value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|<0}). What is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={1,3,5}), (R={(a,b):a+b<k}). What is the minimum integer value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b>2a}). Choose the correct statement about (R).Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={2,4,6}), (R={(a,b):a<b}). Why is (R) not reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), (R={(a,b):a^2<b^2}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a<b}). (R) is not reflexive because which statement is true?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b<8}). (R) is not reflexive because which pair will be absent?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a<b}). Which required pair will not be formed in (R)?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a<b}). Why is (R) not reflexive?Class 12Relations and FunctionsReflexive relationEasy