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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) is odd, which statement about (R) is correct?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 MathematicsIf (aRb) on (A={1,2,3,4,5,6,7}) when (a-b) is divisible by (4), what is the equivalence class of (3)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (aRb) on (A={1,2,3,4,5,6}) when (a\equiv b \pmod{3}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor the partition ({{1,2,3},{4}}) of (A={1,2,3,4}), how many pairs are in the equivalence relation formed by it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor the partition ({{1,4},{2,3}}) of (A={1,2,3,4}), how many pairs are in the equivalence relation formed by it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,2),(2,3),(3,4)}), which additional pairs must appear in the transitive closure?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor (R={(1,1),(2,2),(3,3),(1,2),(2,3)}) on (A={1,2,3}), which minimum pair must be added to make it transitive?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (A) has (3) elements, what is the number of reflexive and antisymmetric relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (A) has (3) elements, how many relations on (A) are both symmetric and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (A) has (3) elements, how many relations on (A) are both reflexive and symmetric?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). What are the equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(1,3)}). Is this relation antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), relation (R=A\times A). Which relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (A={1,2,3}) and (B={4,5}), what is the total number of relations from (A) to (B)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsHow many ordered pairs are in the identity relation on (A={1,2,3,4})?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}). Why is it not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R) is an equivalence relation and (aRb), what is true about ([a]) and ([b])?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4,6,12}), (R={(a,b):a) divides (b)(}). Which statement about ((3,12)) and ((12,3)) is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b) is even(}). How many ordered pairs are in the relation?Class 12Relations and FunctionsIntroduction to RelationsHard