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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) holds when (a-b) is an integer. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsOn real numbers, (aRb) holds when (a^3=b^3). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsOn real numbers, (aRb) holds when (a-b) is rational. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsFor the relation (\frac{a}{b}>0) on non-zero real numbers, what is the equivalence class of (-5)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn real numbers, (aRb) holds when (a-b=0). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn real numbers, (aRb) when (a^2=b^2). Why is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn real numbers, (aRb) when (|a|=|b|). Which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn real numbers, (aRb) when (a-b=0). What type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn real numbers, (aRb) when (a^2=b^2). Choose the correct statement.Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn real numbers, (aRb) when (|a|=|b|). What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsFor real numbers, (aRb) if both (a) and (b) are positive. Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn real numbers, (aRb) is defined when (a=b) or (a=-b). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn real numbers, (aRb) is defined when (a^2+b^2\le 1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn real numbers, (aRb) is defined when (a+b\ge 0). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn real numbers, (aRb) is defined when (a=b) or (a=b+1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn real numbers, (aRb) is defined when (a^2-b^2=0). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn real numbers, (aRb) is defined when (a^4\le b^4). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn real numbers, (aRb) is defined when (a^2+b^2=0). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn real numbers, (aRb) is defined when (a^2\le b^2). Which statement is correct?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn real numbers, (aRb) is defined when (a-b>0). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 14Expert