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Real Numbers

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

MathematicsOn real numbers, (aRb) if (a^2=b^2). What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13HardMathematicsChoose the correct option for (R={(a,b):a,b \in \mathbb{R}\text{ and }a\ge b}).Class 12Relations and FunctionsTransitive relationLevel 15MediumMathematicsOn real numbers, is the relation (aRb) if (a<b) transitive?Class 12Relations and FunctionsTransitive relationLevel 15MediumMathematicsOn real numbers, (aRb) if (a=b). What is this relation?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn real numbers, define (aRb) if (a \le b). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn real numbers, (R={(a,b):|a|=|b|}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn real numbers, (R={(a,b):a^2=b^2}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn real numbers, (R={(a,b):a<b}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn real numbers, (R={(a,b):(a-b)^2=4}). What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn real numbers, relation (R) is defined by (aRb) if (|a|=|b|). What is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn real numbers, (R={(a,b):a+b=0}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn real numbers, (R={(a,b):ab=0}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn real numbers, (R={(a,b):a^2=b^2}). Why is this relation symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn 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 relationLevel 12ExpertMathematicsOn real numbers, (R={(a,b):a^2+b^2=1}). Which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsIf (R={(a,b):a+b=10}) on real numbers, what type is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsOn real numbers, (R={(a,b):|a-b|<2}). What is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsWhich relation is definitely symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsOn real numbers, (R={(a,b):a-b=3}) is given. What is the correct reason it is not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsIf (R={(x,y):x=2y}) is defined on real numbers, (R) is not symmetric. Which counterexample is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Expert