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Introduction To Relations

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

MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(1,2),(2,1)}), what is the domain of (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf on (A={1,2,3,4}), (aRb) when (a) and (b) are both even or both odd, which pair belongs to the relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf the relation on (A={1,2,3,4}) is same parity, what is true about ((1,4))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsFor (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), which is the correct set of equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,3),(1,3),(3,3)}), which pair is required from ((1,3)) and ((3,3)) while checking transitivity?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is symmetric, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is reflexive, will (R^{-1}) also be reflexive?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), what is the inverse relation of (R=A\times A)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}), which missing pair prevents it from being an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}) on (A={1,2,3}), which property is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsWhy is (R={(1,2),(2,1),(2,3),(3,2)}) not transitive?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is a symmetric relation on (A), which statement about domain and range is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is a reflexive relation on (A), which statement about the domain and range of (R) is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsWhich statement is correct about the universal relation on a non-empty set?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsWhich statement is correct about the empty relation on a non-empty set?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsHow many equivalence relations can be formed on a set with three elements?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsHow many equivalence relations can be formed on a set with two elements?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsFor the equivalence relation on (A={1,2,3}) formed by the partition ({{1},{2,3}}), which pair will not be present?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf an equivalence relation gives the partition ({{1,2},{3}}), which pair must be in the relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsFor the same-remainder modulo (3) relation on ({1,2,3,4,5,6}), what is the equivalence class of (2)?Class 12Relations and FunctionsIntroduction to RelationsMedium