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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।

MathematicsOn (A={-4,-2,0,2,4}), (R={(a,b):|a|=|b|}). How many non-self pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={1,2,4,8,16}), (R={(a,b):a) is a divisor of (b)(}). How many total pairs will (R) have?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={2,4,6,8}), (R={(a,b):a+b\le k}). What is the minimum value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn the power set of (S={1,2,3,4}), (XRY) when (X\subseteq Y). How many reflexive pairs are in this relation?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={0,1,2,3,4,5}), (R={(a,b):a^2\equiv b^2 \pmod{6}}). How many total pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={1,2,3,4,5,6,7,8}), (R={(a,b):a\equiv b \pmod{4}}). How many total pairs will (R) have?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsIf (R) and (S) are both reflexive relations on (A), what is the main reason that (S\circ R) is reflexive?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={1,2,3}), how many reflexive relations contain exactly one of ((1,2)), ((2,3)), and ((3,1))?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={1,2,3,4}), how many reflexive relations have at most 6 pairs?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsIf (A) has 6 elements, what is the number of reflexive relations on (A) having exactly 9 pairs?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsIf (A={1,2,3,4}) and (P={(1,3),(3,1),(2,2)}), how many reflexive relations (R) on (A) satisfy (P\subseteq R)?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsIf (A={1,2,3,4}) and (R={(a,b):a=b\text{ and }a+b\text{ is even}}), what is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsOn (A={1,2,3,4}), (R) is defined as ((a,b)\in R) if (a=b) or (a+b=5). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsIf (A={2,3,4,5,6}) and ((a,b)\in R) if (a) and (b) have a common prime factor, which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsOn (A={1,2,3,4}), relation (R) is defined by ((a,b)\in R) if (a) and (b) have a common prime factor. Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsIf (S={1,2,3}) and (A=\mathcal{P}(S)). On (A), (R={(X,Y):X\triangle Y=\varnothing}). Choose the correct statement about (R).Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsIf (S={1,2}) and (A=\mathcal{P}(S)). On (A), (R={(X,Y):X\cup Y=S}). How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsIf (S={1,2,3}) and (A=\mathcal{P}(S)). On (A), (R={(X,Y):X\cap Y=X}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsOn (A={{1},{2},{1,2}}), (XRY) if (X\subset Y). What is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsOn (A={{1},{2},{1,2}}), relation (R) is defined by (XRY) if (X\subseteq Y). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert