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Integers

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

MathematicsOn integers, (aRb) is defined when (a-b) is divisible by (7). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn integers, (aRb) is defined when (a \equiv b \pmod{5}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn integers, (aRb) is defined when (a-b) is even. What is the correct conclusion about this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn non-zero integers, (aRb) is defined when (a) divides (b). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn the set of integers, (aRb) is defined when (a-b) is divisible by (3). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn integers, (aRb) if (a^2=b^2). Choose the correct option for transitivity of (R).Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn the integers, define aRb when a+b is even. Is R transitive?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn integers, (aRb) if (a \equiv b \pmod{5}). Which statement is correct about (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(a,b):a,b\in\mathbb{Z}\text{ and }a+b\text{ is even}}), which option is correct for (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn integers, (aRb) if (a-b) is divisible by (4). What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(a,b):a,b \in \mathbb{Z}\text{ and }a-b\text{ is odd}}), is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsOn integers, (aRb) if (a \equiv b \pmod{3}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Medium MathematicsOn integers, define (aRb) if (a-b) is even. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Medium MathematicsOn integers, (R) is defined by (aRb) if (a \equiv b \pmod{3}). What is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn integers, relation (R) is defined by (aRb) if (a=b). What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn integers, relation (R) is defined by (aRb) if (a-b) is divisible by (5). Which statement is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsIf (R={(a,b):a-b\text{ is even}}) is a relation on integers, what type is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (R={(a,b):a^2+b^2=25}) is defined on integers, what is the correct statement about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R={(a,b):|a-b|\le 2}) is defined on integers, choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsOn integers, the relation (R={(a,b):a-b=3}) is given. Why is it not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Hard