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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={1,2,3,4,6,12}), (R={(a,b):a\mid b\text{ or }b\mid a}). What is the reason for (R) being reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,4,8,16}) and (R={(a,b):\frac{b}{a}\text{ is an integral power of }2}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={2,3,4,5,6,7}), ((a,b)\in R) if (a) and (b) have a common prime factor. How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5,6}) and ((a,b)\in R) only when (a) and (b) have a common prime factor, is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={\varnothing,{1},{2},{1,2}}), (R={(X,Y):X\subset Y\text{ or }X\cap Y=X}). What is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf \(A=\mathcal{P}({1,2,3})) and (R={(X,Y):X\triangle Y\subseteq X}\), what is (R) with respect to reflexivity?Class 12Relations and FunctionsIntroduction to RelationsLevel 9Expert MathematicsOn \(A=\mathcal{P}({1,2,3})\), \(R={(X,Y):X\setminus Y=X}\). How many diagonal pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 9Expert MathematicsIf \(S=\{1,2,3\}\) and \(A=\mathcal{P}(S)\), then a relation \(R\) on \(A\) is defined by \[R=\{(X,Y):X,Y\in A \text{ and } X\cup =S\}. \] How many diagonal pairs must be added to make \(R\) reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 9Expert MathematicsFor \(S={1,2,3}\) and \(A=\mathcal{P}(S)\), \(R={(X,Y):X\cup Y=Y}\). Is (R) reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 9Expert MathematicsIf (S={1,2,3}) and \(A=\mathcal{P}(S)\). On (A), (R={(X,Y):X\cap Y=X}). What is (R) with respect to reflexivity?Class 12Relations and FunctionsIntroduction to RelationsLevel 9Expert MathematicsIf (S={1,2,3,4}) and (A=\mathcal{P}(S)), how many reflexive relations are possible on (A)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4,5}), a relation has exactly (18) pairs and is reflexive. How many pairs are present besides the compulsory diagonal pairs?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4}), how many reflexive relations contain exactly (11) ordered pairs?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn a five-element set, how many reflexive relations are neither the identity relation nor the universal relation?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4}), how many reflexive relations have exactly (2) non-diagonal pairs and ((1,2)) is one of them?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn a four-element set, how many reflexive relations do not contain both ((1,2)) and ((2,1))?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A) has (n) elements, how many reflexive relations must contain one fixed non-diagonal pair ((p,q)), where (p\neq q)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsHow many reflexive relations are possible on a set with six elements?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A) has (5) elements, how many reflexive relations have exactly (12) ordered pairs?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4}), (R=A\times A-{(1,1),(2,3),(4,4)}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert