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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (A={1,2,3,4}) and (R={(1,2),(2,3),(3,4)}), how many pairs will be in the transitive closure of (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (A) has (4) elements, how many relations on (A) are both symmetric and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (A) has (4) elements, what is the number of reflexive and antisymmetric relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (A) has (4) elements, how many relations on (A) are both reflexive and symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf a relation on (A={1,2,3}) is reflexive, symmetric and antisymmetric all together, which relation can it be?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4)}) on (A={1,2,3,4}), why is (R) not a partial order relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}) on (A={1,2,3,4}), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3)}) on (A={1,2,3}), which pair is missing for symmetry?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3),(3,1)}) on (A={1,2,3}), which property definitely fails?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R) is reflexive and transitive, what decides whether (R) is symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R) is a partial order relation on (A={1,2,3}) and ((1,2),(2,1)\in R), what conclusion follows?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R) on (A={1,2,3}) is reflexive and symmetric and ((1,2),(2,3)\in R), which pair is necessary to make (R) an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf all equivalence classes of (R) on (A={1,2,3,4}) are singletons, what relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf a relation (R) on (A={1,2,3,4}) puts all elements in one equivalence class, what relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf a relation (R) on (A={1,2,3,4}) forms two classes ({1,3}) and ({2,4}), how many pairs will be in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,2),(2,3),(3,1)}) on (A={1,2,3}), why is (R) not transitive?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,2),(2,3),(1,3)}) on (A={1,2,3}), is (R) transitive?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}) on (A={1,2,3}), why is (R) symmetric but not reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), which description fits (R) best?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), which pair will be in (R^{-1}) but not in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard