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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।

MathematicsHow many equivalence relations can be formed on a set with two elements?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsFor the equivalence relation on (A={1,2,3}) formed by the partition ({{1},{2,3}}), which pair will not be present?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf an equivalence relation gives the partition ({{1,2},{3}}), which pair must be in the relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsFor the same-remainder modulo (3) relation on ({1,2,3,4,5,6}), what is the equivalence class of (2)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIn ({1,2,3,4,5,6}), how many equivalence classes are formed by the relation of having the same remainder on division by (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIn the same-parity relation on ({1,2,3,4}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (R) is an equivalence relation and ((4,7)\in R), which pair must definitely be in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (R) is an equivalence relation and ((1,2)\in R), ((2,3)\in R), which pair must definitely be in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (R) is symmetric and transitive but not reflexive, is (R) an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf a relation (R) has domain ({1,2,3}) and range ({4,5}), what is the domain of (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (R={(1,2),(2,3),(3,4)}), which of the following pairs must be added for a full transitive extension?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (R={(1,2),(2,1),(2,3),(3,2)}), which pair is first required by transitivity?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (R={(1,2),(2,3)}), which minimum pair must be added to complete transitivity?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (A={1,2,3}) and (R={(1,1),(2,3)}), which pairs must be added to make (R) reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (A={1,2,3}) and (R={(1,2),(3,3)}), what is the smallest relation needed to make (R) symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsOn real numbers, (aRb) means (a+b=0). Which property is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsOn real numbers, (aRb) means (a-b>0). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsOn non-zero real numbers, (aRb) means (ab>0). What type of relation is this?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsOn real numbers, (aRb) means (a^2=b^2). What type of relation is this?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsOn integers, (aRb) means (|a|=|b|). What type of relation is this?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium