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Inequality

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

MathematicsOn real numbers, the relation (R={(a,b):a<b}) is given. Choose the correct statement about this relation.Class 12Relations and FunctionsTransitive relationMedium MathematicsOn real numbers, define (aRb) if (a \le b). Is (R) transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn integers, (aRb) means (a<b). Is this relation transitive?Class 12Relations and FunctionsTransitive relationEasy MathematicsOn the set of real numbers, relation (R) is defined by (aRb) if and only if (a-b>0). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\leq b}) is defined. Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationMedium MathematicsWhich option gives a relation that is not symmetric?Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3,4}), what is the correct conclusion for (R={(a,b):|a-b|\le 1})?Class 12Relations and FunctionsSymmetric relationMedium MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):|a-b|\leq a-1}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={1,2,3,4}) and (R={(a,b):(a-b)^2<1}), what is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={-2,-1,0,1,2}), (R={(a,b):ab\geq a+b}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={-3,-2,-1,0,1,2,3}), (R={(a,b):a^2+b^2\leq9}). How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\leq ab}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b\leq ab}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={1,2,3,4}), (R) is such that ((a,b)\in R) if ((a-b)^2\leq a-b). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={-3,-2,-1,0,1,2,3}), (R={(a,b):ab\leq a^2}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={-2,-1,0,1,2}) and (R={(a,b):a^2+b^2\leq 4}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={2,3,4,6,8,12}), (R={(a,b):\operatorname{lcm}(a,b)\leq 12}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={-2,-1,0,1,2}), (R={(a,b):a+b>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):a+b>0}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\geq 2a}). What is the correct reason that (R) is reflexive?Class 12Relations and FunctionsReflexive relationExpert