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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।

MathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b}). How many ordered pairs are in the relation?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn real numbers, (aRb) iff (a-b>0). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=5}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor (R={(1,2),(2,1)}) on (A={1,2,3}), how many minimum pairs must be added to make it reflexive?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor (R={(1,2)}) on (A={1,2,3}), which minimum pair must be added to make it symmetric?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor (R={(1,2),(2,3)}) on (A={1,2,3}), which minimum pair must be added to make it transitive?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R) and (S) are transitive relations on (A), which statement about (R\cup S) is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R) and (S) are symmetric relations on (A), which statement about (R\cup S) is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R) and (S) are reflexive relations on (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b) is odd(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4,5,6}), (aRb) iff (a) and (b) leave the same remainder on division by (3). What is the class of (2)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), (R={(a,b): |a-b|) is even(}). How many equivalence classes are formed?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf a relation always contains ((a,c)) whenever it contains ((a,b)) and ((b,c)), which property does it have?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). What is the main reason it is not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,3),(1,3)}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (A) has (n) elements, which formula gives the number of relations that are both reflexive and symmetric on (A)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (A) has (n) elements, which formula gives the number of symmetric relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (A) has (n) elements, which formula gives the number of reflexive relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsHard