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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) is defined when (a+b=0). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn real numbers, (aRb) is defined when (|a|\ge |b|). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn real numbers, (aRb) is defined when (a^3\le b^3). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn real numbers, (aRb) is defined when (a<b+1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn real numbers, (aRb) is defined when (a-b\ge 0). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn real numbers, (aRb) is defined when (a^2=b^2). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn real numbers, (aRb) is defined when (a<b). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn real numbers, (aRb) if (a<b+1). What is the correct conclusion for (R)?Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, (aRb) if (a=b) or (a<b). Choose the correct option for (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, (aRb) if (a-b) is an integer. Choose the correct option about (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, (aRb) if (a<b). Choose the correct reason for transitivity of (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, relation (R) is defined by (aRb) if (a-b) is rational. Choose the correct statement about transitivity of (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, (aRb) if (ab>0). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14HardMathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }a^2+b^2=0}), what type is (R)?Class 12Relations and FunctionsTransitive relationLevel 14HardMathematicsOn real numbers, (aRb) if (a-b) is an integer. What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 14HardMathematicsOn real numbers, (aRb) if (a^2\le b^2). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14HardMathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }a^3=b^3}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13HardMathematicsOn real numbers, (aRb) if (a-b) is rational. What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13HardMathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }|a|=|b|}), choose the correct option for (R).Class 12Relations and FunctionsTransitive relationLevel 13HardMathematicsOn real numbers, (aRb) if (a=b+1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard