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Equivalence

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

MathematicsIf (R) is an equivalence relation and ([a]\neq[b]), what is ([a]\cap[b])?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsWhat are the equivalence classes of the identity relation on a set?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsWhich statement is true about two different equivalence classes formed by an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf the equivalence classes of an equivalence relation are {(1,2)} and {(3)}, what is the original set?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf (R) is an equivalence relation and ((1,2)\in R), ((2,5)\in R), which pair must be present?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf (R) is an equivalence relation and ((4,7)\in R), why must ((7,4)\in R)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf (R) is an equivalence relation, from which property do we get ((a,a)\in R)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsWhich relation is called the universal relation?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsWhich relation is called the identity relation?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf (aRb) means objects (a) and (b) have the same color, what type of relation can it be on a set of objects?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf (aRb) means students (a) and (b) study in the same class, what type of relation is it on a set of students?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn integers, (aRb) if (a-b) is divisible by (5). This relation is connected with which idea?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn natural numbers, (aRb) if (a) and (b) are both even or both odd. What is this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn (A={1,2,3}), why is (R={(1,1),(2,2),(1,2),(2,1)}) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn (A={1,2,3}), (R=A\times A). What kind of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn (\mathbb{R}), the relation (aRb) if (a=b) is transitive or not?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\equiv b \pmod{2}}). Why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsWhich relation is reflexive, symmetric and transitive on every set?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsOn real numbers, (aRb) iff (a=b). Why is it an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsWhich single pair should be added to R={(1,1),(2,2),(3,3),(1,2)} so that it becomes an equivalence relation on A={1,2,3}?Class 12Relations and FunctionsTypes of relationsLevel 4Easy