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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।

MathematicsWhich statement about equivalence relations and reflexive relations is correct?Class 12Relations and FunctionsReflexive relationLevel 8Hard 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 relationLevel 8Hard 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 relationLevel 8Hard MathematicsWhich matrix of a relation on a three-element set makes the relation reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsHow many relations on a three-element set are both reflexive and antisymmetric?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsHow many relations on a four-element set are both reflexive and symmetric?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn (A={1,2,3}), how many reflexive relations must contain both ((1,2)) and ((2,3))?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsWhat is the smallest reflexive relation on a set (A)?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsIf (R) is reflexive on (A) and (S \subseteq R), which statement about (S) is always true?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsIf (R) is reflexive on (A) and (B \subseteq A), on which set is (R \cap (B \times B)) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsIf (R) and (S) are reflexive relations on (A), which statement about (S \circ R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Hard 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 relationLevel 8Hard 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 relationLevel 8Hard MathematicsFor any set (A), what is correct about the universal relation (A \times A)?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn a non-empty set (A), the empty relation (R=\varnothing) is given. Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn the empty set (A=\varnothing), the empty relation (R=\varnothing) is given. Which statement about reflexivity is correct?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn (A={1,2,3}), (R={(a,b):|a-b|>0}) is given. What is (R)?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn (A={1,3,5,7}), (R={(a,b):|a-b|\le 2}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn (A={-1,0,1}), (R={(a,b):a+b=0}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn a set (A) of integers, (R={(a,b):a^2=b^2}) is given. Why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard