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Equivalence Closure

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

MathematicsOn A = {1,2,3,4,5}, R = {(1,2), (2,3), (4,5)}. How many ordered pairs are in the smallest equivalence relation containing R?Class 12Relations and FunctionsEquivalence relationLevel 27HardMathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(1,3),(3,1)}). Which minimum pairs must be added to make it an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 6ExpertMathematicsOn (A={1,2,3,4,5}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,3),(4,5)})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3ExpertMathematicsOn (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,3)})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsOn (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 2ExpertMathematicsOn (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(3,4)})?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsOn (A={1,2,3}), starting from (R={(1,2),(2,3)}), how many pairs will the smallest relation containing (R) and being reflexive, symmetric and transitive have?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsIf (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 RelationsLevel 3HardMathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}) on (A={1,2,3}), which pairs must be added to make it an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard