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Introduction To Relations

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

MathematicsWhich condition is correct for a relation to be symmetric?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsWhich condition is necessary for a relation to be reflexive?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsOn (A={1,2}), (R={(1,1),(2,2),(1,2),(2,1)}) is equal to which relation?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf ((1,2)) and ((2,3)) are in a relation but ((1,3)) is not, which property fails?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsFor (R={(1,2),(2,3),(1,3)}) on (A={1,2,3}), which property is visible?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (A) has (3) elements, how many different relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsA relation from two sets (A) and (B) is a subset of what?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (A={a,b}), how many ordered pairs are there in (A\times A)?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsOn (A={1,2,3}), what is (R={(1,1),(2,2),(3,3)}) called?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf a relation contains ((3,5)) but does not contain ((5,3)), which type can it definitely not be?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsOn (A={1,2}), (R={(1,1),(1,2),(2,2)}) is given. Why is this relation reflexive?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (R={(1,2),(2,1)}), what is the main property of this relation?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsA set (A) has (4) elements. How many ordered pairs will the universal relation on (A) contain?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsHow many ordered pairs are there in the empty relation on (A={1,2,3})?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (R={(1,1),(2,2)}) is a relation on the set (A={1,2}), what type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf a relation contains ((2,5)) and ((5,9)), and the relation is transitive, which pair must be present?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf a relation contains ((5,7)) and is symmetric, which pair must be present?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (R={(1,1),(1,2),(2,2),(2,3),(1,3)}), which pair completes transitivity because of ((1,2)) and ((2,3))?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsWhich property does not fail in (R={(1,2),(2,1),(1,1),(2,2)})?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf (R={(2,2),(4,4),(6,6),(2,4),(4,2)}) on (A={2,4,6}), which property is immediately visible?Class 12Relations and FunctionsIntroduction to RelationsEasy