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Ordered Pairs

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}), what is the transitive closure of (R={(1,2),(2,1)})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,1)})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsFor (R={(1,2),(2,3),(3,4)}) on (A={1,2,3,4}), how many minimum pairs must be added to form the transitive closure?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(3,3)}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsHow many ordered pairs does the equivalence relation with classes {1,2} and {3,4} contain?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R={(1,2),(2,3)}) and (S={(2,4),(3,5)}), what is (S\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R={(1,2),(2,4),(4,1)}), what is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsOn (A={1,2,3,4}), if (aRb) when (a) divides (b), which pair will not be in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard 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 RelationsLevel 1Hard 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 RelationsLevel 1Hard 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 RelationsLevel 1Hard 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 RelationsLevel 1Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b}). How many ordered pairs are in the relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor (R={(1,2),(2,1)}) on (A={1,2,3}), how many minimum pairs must be added to make it reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor (R={(1,2)}) on (A={1,2,3}), which minimum pair must be added to make it symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor (R={(1,2),(2,3)}) on (A={1,2,3}), which minimum pair must be added to make it transitive?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). What is the main reason it is not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard