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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, (R={(a,b):a-b\equiv 0 \pmod{5}}). Why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsIf (R={(a,b):a^2=b^2}) is defined on the set of integers, what type is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsThe relation (R={(a,b):a-b\text{ is even}}) is given on integers. What is it?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsThe relation (R={(a,b):|a-b|=3}) is given on integers. What is it?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsThe relation (R={(a,b):a) and (b) have the same parity(}) is given on integers. What is it?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsOn real numbers, (R={(x,y):x-y\in \mathbb{Z}}) is given. Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn integers, (R={(a,b):a-b) is divisible by (3)(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn integers, (R={(a,b):a-b\text{ is odd}}). Why is it not reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsOn integers, (R={(a,b):a-b\text{ is even}}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsOn integers, (aRb) if and only if (a-b) is divisible by (4). What is the equivalence class of (3)?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsOn integers, (aRb) if and only if (a\equiv b \pmod{5}). What is the equivalence class of (2)?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn integers, (aRb) if and only if (a-b) is divisible by (7). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn integers, (aRb) if and only if (a\equiv b \pmod{4}). What is the equivalence class of (0)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn integers, (aRb) if (a-b) is even. What type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsOn integers, (aRb) iff (a+b) is even. What is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn integers, (aRb) iff (2a+2b) is divisible by (4). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn integers, (aRb) iff (a-b) is divisible by (8). What is the equivalence class of (-3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn integers, (aRb) iff (a-b) is divisible by (6). What is the equivalence class of (7)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn the set of integers, relation (R) is defined by (aRb) if (a-b) is divisible by (5). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard