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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।

MathematicsIf \(f(x)=2x+1\), what is the value of \(f(0)+f(1)\)?Class 12Relations and FunctionsIntroduction to RelationsEasy 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 RelationsExpert 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 RelationsExpert 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 RelationsExpert 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 RelationsExpert 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 RelationsExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) and (S={(a,b):a-b\text{ is divisible by }4}). How many pairs are in (R\cap S)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf R is the empty relation on a non-empty set A, what is R∘R?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3,4,5}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,3),(4,5)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), which pair will belong to the transitive closure of (R={(1,2),(2,1),(2,3),(3,4)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), for (R={(1,2),(2,1),(2,3),(3,4)}), which pair must be added to make it transitive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) is transitive, which statement about (R^3\subseteq R) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R\subseteq S), which statement about inverse relations is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) and (S) are relations, what is ((R\cap S)^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) and (S) are relations, what is ((R\cup S)^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsFor any relation (R), what is ((R^{-1})^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) is a symmetric relation, which statement about (R\circ R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), for (R={(1,2),(2,1),(2,3),(3,2)}), which pair will not belong to (R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), for (R={(1,2),(2,3),(3,4)}), what is (R\circ R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), for (R={(1,2),(2,3),(3,4)}), what is (R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsExpert