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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 (A={1,2,3,4}), if (aRb) when (a<b), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (a<b), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (a\le b), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (|a-b|) is even, how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), if (aRb) when (|a-b|\le1), which property is absent?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), if (aRb) when (|a-b|\le1), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (a+b=5), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (a+b=5), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R) on (A={1,2,3}) is reflexive and symmetric and ((1,2)) and ((2,3)) are in (R), which pairs must be present to make it an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf all equivalence classes of (R) on (A={1,2,3,4}) are singletons, how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf the only equivalence class of (R) on (A={1,2,3,4}) is ({1,2,3,4}), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf equivalence classes of (R) on (A={1,2,3,4}) are ({1,4}), ({2}), and ({3}), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,2),(2,3),(3,1),(1,1),(2,2),(3,3),(1,3),(2,1),(3,2)}) on (A={1,2,3}), what is (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(3,1)}) on (A={1,2,3}), why is (R) not transitive?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf the universal relation is on (A={1}), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf the universal relation is on (A={1,2}), is it antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R) is the universal relation on a non-empty set (A), which statement is always true?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf a relation on (A={1,2,3,4}) is reflexive, symmetric and antisymmetric all together, which relation will it be?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf a relation on (A={1,2,3}) is reflexive, symmetric and antisymmetric all together, how many pairs will it have?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), why is (R) symmetric but not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsHard