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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={1,2,3,4,5,6,7}) and (R={(a,b):a\equiv 3b \pmod{4}}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9ExpertMathematicsOn (A={0,1,2,3,4,5}), (R={(a,b):a^2\equiv b \pmod{5}}). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9ExpertMathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a^2+b^2\text{ is divisible by }10}), how many diagonal pairs are already in (R)?Class 12Relations and FunctionsReflexive relationLevel 9ExpertMathematicsLet (A={1,2,3,4,5,6,7,8}) and (R={(a,b)\in A\times A:a+b\text{ is divisible by }6}). What is the minimum number of pairs needed to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9ExpertMathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a-b\text{ is divisible by }6}). What is the basis for (R) being reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={0,1,2,3,4}) and (R={(a,b):a^2+b^2=a+b}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={0,1,2,3,4}), (R={(a,b):a^2+b^2=a+b}). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={0,1,2,3}) and (R={(a,b):a^3-b^3=0}), which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\leq ab}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b\leq ab}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,4,8}), (R={(a,b):\text{the ratio of }a\text{ and }b\text{ is an integral power of }2}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={2,4,8,16}) and ((a,b)\in R) if both (a) and (b) are divisible by a common power of (2), what is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a) and (b) have a common factor greater than (1)(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A=\mathcal{P}({1,2})) and (R={(X,Y):X\triangle Y=X}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={\varnothing,{1},{2},{1,2}}), (R={(X,Y):X\subset Y\text{ or }X=Y}). What is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (S={1,2}) and (A=\mathcal{P}(S)). (R={(X,Y):X\setminus Y=\varnothing}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsFor (S={1,2,3}) and (A=\mathcal{P}(S)), (R={(X,Y):X\cup Y=X}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (S={1,2,3}) and (A=\mathcal{P}(S)). (R={(X,Y):X\cap Y=\varnothing}). How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (S={1,2,3}) and (A=\mathcal{P}(S)). On (A), (R={(X,Y):X\subseteq Y}). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,3,4}), (R) is a relation containing every ((a,a)) and missing exactly two non-diagonal pairs. How many total pairs does (R) have?Class 12Relations and FunctionsReflexive relationLevel 8Expert