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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}), how many total relations can be formed from (A) to (A)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), is (R) a partial order relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf divisibility relation is defined on (A={1,2,3,6}), which is the greatest element?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf divisibility relation is defined on (A={2,3,6}), which is the least element?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIn the divisibility relation on ({1,2,3}), which is the least element?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsWhich type of relation has reflexivity, antisymmetry and transitivity together?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), why is (R) not antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2)}) on (A={1,2,3}), is (R) antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), which properties does the relation (\le) have?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf in a relation, ((a,b)\in R) and ((b,a)\in R) always imply (a=b), which property is this?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3,4,5}), if (aRb) when (a\equiv b \pmod{3}), what is the equivalence class of (2)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3,4}), if (aRb) when (a\equiv b \pmod{2}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}) on (A={1,2,3}), is (R) an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,3),(3,1)}), is (R) transitive?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,3),(3,1)}) on (A={1,2,3}), is (R) symmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,4),(4,1)}) on (A={1,2,3,4}), is (R) an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2,3}) and (B={x,y,z}), how many relations are possible from (A) to (B)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(1,2),(2,1),(2,2)}) on (A={1,2}), what is (R) equal to?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,2),(2,3)}) on (A={1,2,3}), which pair is required for transitivity?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3,4}), if (aRb) when (|a-b|) is even, what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium