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Equality Relation

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

MathematicsIf (A) has (5) elements and (R) is the equality relation, how many pairs are in (R)?Class 12Relations and FunctionsEquivalence relationHardMathematicsOn (A=\mathbb{R}), (xRy) if (x-y=0). Which relation is this?Class 12Relations and FunctionsEquivalence relationHardMathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b). How many equivalence classes does this relation have?Class 12Relations and FunctionsEquivalence relationExpertMathematicsOn real numbers, (aRb) holds when (a-b=0). What type of relation is it?Class 12Relations and FunctionsEquivalence relationMediumMathematicsIf (R={(a,a):a\in A}), how can (R) be identified?Class 12Relations and FunctionsEquivalence relationEasyMathematicsFor a non-empty set (A), which statement is correct about the equality relation (R={(a,a):a\in A})?Class 12Relations and FunctionsEquivalence relationEasyMathematicsFor a relation (aRb) if (a=b), what type of relation is it on any set?Class 12Relations and FunctionsEquivalence relationEasyMathematicsOn real numbers, (aRb) is defined when (a^2=b^2) and (a^3=b^3). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpertMathematicsOn real numbers, (aRb) is defined when (a^2=b^2). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationExpertMathematicsOn real numbers, (aRb) is defined when (a^2=b^2). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpertMathematicsOn (\mathbb{R}), the relation (aRb) if (a=b) is transitive or not?Class 12Relations and FunctionsTransitive relationMediumMathematicsOn real numbers, (R={(a,b):a=b}). Choose the correct option.Class 12Relations and FunctionsTransitive relationMediumMathematicsOn real numbers, (aRb) if (a=b). What is this relation?Class 12Relations and FunctionsTransitive relationMediumMathematicsOn integers, (aRb) means (a=b). Is it transitive?Class 12Relations and FunctionsTransitive relationEasyMathematicsOn integers, relation (R) is defined by (aRb) if (a=b). What type of relation is it?Class 12Relations and FunctionsTransitive relationEasyMathematicsIf (R={(a,b):a^2-b^2=0}) is defined on real numbers, choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationExpertMathematicsOn (A={1,2,3}), (R={(a,b):a^2=b^2}). What type of relation is (R)?Class 12Relations and FunctionsSymmetric relationHardMathematicsIn which relation is symmetry definitely present?Class 12Relations and FunctionsSymmetric relationMediumMathematicsThe relation (R={(a,b):a-b=0}) is given on a set (A). What type of relation is it?Class 12Relations and FunctionsSymmetric relationEasyMathematicsOn (A={1,2,3}), what type is the relation (R={(a,b):a=b})?Class 12Relations and FunctionsSymmetric relationEasy

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