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Universal Relation

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

MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}) on (A={1,2,3}), is (R) an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 3MediumMathematicsIf (R={(1,1),(1,2),(2,1),(2,2)}) on (A={1,2}), what is (R) equal to?Class 12Relations and FunctionsIntroduction to RelationsLevel 3MediumMathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}) on (A={1,2,3}), what is the correct name of (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3MediumMathematicsIf the universal relation is on (A={1,2,3,4}), how many pairs will it contain?Class 12Relations and FunctionsIntroduction to RelationsLevel 3MediumMathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}) on (A={1,2,3}), what is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2MediumMathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}), what must be added to make (R) universal?Class 12Relations and FunctionsIntroduction to RelationsLevel 2MediumMathematicsIf (R=A\times A) on (A={1,2,3}), which statement about (R) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 2MediumMathematicsIf (R) contains all pairs of (A\times A) on (A={1,2,3}), what is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2MediumMathematicsIf (A={1,2,3}), how many ordered pairs are in the universal relation on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2MediumMathematicsOn (A={1,2,3}), what is the inverse relation of (R=A\times A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1MediumMathematicsWhich statement is correct about the universal relation on a non-empty set?Class 12Relations and FunctionsIntroduction to RelationsLevel 1MediumMathematicsIf (A={1,2,3}) and (R=A\times A), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3EasyMathematicsIf (R={(1,1),(2,2),(1,2),(2,1)}), is it an equivalence relation on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3EasyMathematicsWhich relation is the universal relation on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3EasyMathematicsWhich pair cannot be included in the universal relation on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3EasyMathematicsIf a relation contains all pairs of (A\times A), what is it called?Class 12Relations and FunctionsIntroduction to RelationsLevel 3EasyMathematicsIs (R={(1,1),(2,2)}) a universal relation on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3EasyMathematicsOn (A={1,2}), (R={(1,1),(2,2),(1,2),(2,1)}) is equal to which relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 3EasyMathematicsA set (A) has (4) elements. How many ordered pairs will the universal relation on (A) contain?Class 12Relations and FunctionsIntroduction to RelationsLevel 3EasyMathematicsWhat type of relation is (R={(1,1),(1,2),(2,1),(2,2)}) on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Easy