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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 (R) contains all pairs of (A\times A) on (A={1,2,3}), what is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is a relation on (A) such that ((a,b)\in R) and ((b,c)\in R\Rightarrow (a,c)\in R), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is a relation on (A) such that ((a,b)\in R\Rightarrow (b,a)\in R), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIn which relation is every element related to itself, but the reverse-pair condition is not necessary?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2,3}), how many ordered pairs are in the universal relation on (A)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,3)}) on (A={1,2,3}), which property is definitely absent?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsChoose the correct statement for (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}) on (A={1,2,3}).Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,1),(2,3),(3,2)}), why is it not reflexive on (A={1,2,3})?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), which properties are definite?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A) has (2) elements and (B) has (3) elements, how many relations are possible from (A) to (B)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2,3}), which is the identity relation on (A)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,3)}), which pair must be added to make it transitive?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2)}), why is (R) not symmetric on (A={1,2,3})?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf a set (A) has (4) elements, how many relations are possible on (A)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3)}) on (A={1,2,3}), why is (R) not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1)}), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) and (S) are both transitive relations, which statement about (R\cup S) is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) and (S) are both symmetric relations on (A), what is true about (R\cup S)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) and (S) are both reflexive relations on (A), what is true about (R\cap S)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(1,2),(2,1)}), why is (R) not reflexive?Class 12Relations and FunctionsIntroduction to RelationsMedium