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Not Reflexive

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}), (aRb) when (a<b). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4}), (aRb) when (a+b) is odd. Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsFor real numbers, (aRb) if both (a) and (b) are positive. Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsFor real numbers, (aRb) if (a<b). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsWhy is the empty relation on (A={1,2,3}) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf (A) has (4) elements, how many symmetric relations are not reflexive?Class 12Relations and FunctionsSymmetric relationHard MathematicsWhich relation is symmetric but not necessarily reflexive?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (A) is non-empty and (R) is reflexive on (A), which statement about (A\times A-R) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsOn real numbers, (R={(a,b):a^2+b^2\le k}). Which statement is correct about (R) being reflexive on all of (\mathbb{R})?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (A) is non-empty and (R) is reflexive on (A), what is the correct conclusion about (A\times A-R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={-1,0,1}), (R={(a,b):ab>0}). Why is (R) not reflexive?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+1\le b}). What is correct about (R)?Class 12Relations and FunctionsReflexive relationMedium MathematicsIf (A={1,2,3}) and (R) is defined by (aRb) when (a\ne b) or (a=2), is (R) reflexive or not?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is divisible by }3}). Is (R) reflexive or not?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2}), (R={(1,1),(2,2),(1,2)}). What is correct about the complement relation (R^c)?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a+b\le 5}). Is (R) reflexive or not?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). If (T=R\setminus{(2,2)}), what will (T) be?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}), (R) is not reflexive. Still, what is the maximum possible number of pairs in (R)?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={0,1,2}), (R={(a,b):a+b>0}). What is the reason (R) is not reflexive?Class 12Relations and FunctionsReflexive relationMedium