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Reflexive Relation

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

MathematicsIf (A={1,2,3,4,5}), how many reflexive relations have no non-diagonal pair?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3,4}), (R) is reflexive and has exactly (9) pairs. How many such relations are possible?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn a three-element set, how many reflexive relations contain at least one non-diagonal pair?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4}), how many reflexive relations must contain ((1,2)) and must not contain ((2,1))?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn a four-element set, how many relations are reflexive and different from the identity relation?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn a three-element set, how many relations are reflexive but not the universal relation?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A) has (n) elements, how many reflexive relations have exactly (n+2) ordered pairs?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn a five-element set, how many reflexive relations have exactly (6) more pairs than the minimum possible number?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsHow many reflexive relations with exactly (7) ordered pairs are possible on a four-element set (A)?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3}), relation (R) contains all pairs of (A\times A) except ((1,1)) and ((2,2)). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):a\neq b\text{ or }a+b\text{ is even}}), what is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a=b\text{ and }a+b\text{ is odd}}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a=b\text{ or }a+b\text{ is odd}}), what is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even and }a\neq b}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):|a-b|\text{ is even}}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|\text{ is positive}}). What is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):|a-b|+1\leq 1}), which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3,4}), (R) is such that ((a,b)\in R) if ((a-b)^2\leq a-b). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={-2,-1,0,1,2}) and (R={(a,b):ab<a^2}), is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={-3,-2,-1,0,1,2,3}), (R={(a,b):ab\leq a^2}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert