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

MathematicsIf (f:A \to \mathbb{R}) and (R={(x,y):f(x)\le f(y)}), what is (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (f:A \to \mathbb{R}) and (R={(x,y):f(x)<f(y)}), what is correct about (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (f:A \to B) is a function and (R={(x,y):f(x)=f(y)}) on (A), which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsWhich statement about equivalence relations and reflexive relations is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsIf a relation matrix has all off-diagonal entries (1), but one main diagonal entry is (0), what is the relation like?Class 12Relations and FunctionsReflexive relationHard MathematicsThe matrix of a relation is (\begin{bmatrix}1&1&0\0&1&1\1&0&1\end{bmatrix}). Which statement about the relation is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsWhich matrix of a relation on a three-element set makes the relation reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsHow many relations on a three-element set are both reflexive and antisymmetric?Class 12Relations and FunctionsReflexive relationHard MathematicsHow many relations on a four-element set are both reflexive and symmetric?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), how many reflexive relations must contain both ((1,2)) and ((2,3))?Class 12Relations and FunctionsReflexive relationHard MathematicsWhat is the smallest reflexive relation on a set (A)?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) is reflexive on (A) and (S \subseteq R), which statement about (S) is always true?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) is reflexive on (A) and (B \subseteq A), on which set is (R \cap (B \times B)) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) and (S) are reflexive relations on (A), which statement about (S \circ R) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) is a reflexive relation on (A) and (S) is any relation on (A), which statement about (R \cup S) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (A) is non-empty and (R) is a reflexive relation on (A), what is correct about (A \times A-R)?Class 12Relations and FunctionsReflexive relationHard MathematicsFor any set (A), what is correct about the universal relation (A \times A)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn a non-empty set (A), the empty relation (R=\varnothing) is given. Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsOn the empty set (A=\varnothing), the empty relation (R=\varnothing) is given. Which statement about reflexivity is correct?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), (R={(a,b):|a-b|>0}) is given. What is (R)?Class 12Relations and FunctionsReflexive relationHard