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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।

MathematicsOn natural numbers, (aRb) means (a\le b). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn integers, (aRb) means (a-b) is even. What type of relation is this?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A) has (3) elements, what is the number of relations on (A) that are both reflexive and symmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A) has (3) elements, what is the number of symmetric relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A) has (3) elements, what is the number of reflexive relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A) has (3) elements and (B) has (2) elements, what is the total number of relations from (A) to (B)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIn which relation is every element related to itself and no element is left out?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (A) has (5) elements, how many pairs are there in (A\times A)?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsWhich pair will be in the identity relation on (A={2,4})?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (R\subseteq A\times A), what can (R) be called?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (A={1,2,3}) and (R=A\times A), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (R={(1,1),(2,2),(1,2)}), why is it not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (R={(1,1),(2,2),(1,2),(2,1)}), is it an equivalence relation on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsWhich relation is the universal relation on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsWhich relation is the empty relation on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf a relation contains only self-pairs, what is it commonly called?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIn (R={(1,1),(1,2),(2,2)}), which pair is needed for transitivity because of ((1,2)) and ((2,2))?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (A={x,y}), which one is the identity relation?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsWhich pair cannot be included in the universal relation on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf a relation is reflexive and symmetric but not transitive, will it be an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsEasy