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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={1,2,3,4,5}), (R={(a,b):|a-b|<1}). Which option is correct for (R)?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\geq 2a}) is given. Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(1,2),(2,3),(3,1)}), which pair must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a<b}). Which set of pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsIf (A={2,3,5,7}) and (R={(a,b):a\text{ divides }b}), how many minimum pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a-b\text{ is odd}}). Choose the correct statement about (R).Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a+b\text{ is even}}) is given. Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsFor a relation (R) on set (A), which condition is equivalent to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn a non-empty set with (n) elements, what is the minimum number of pairs in a reflexive relation?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn a four-element set, what is the maximum number of pairs a relation can have and still not be reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsFor any family ({R_i}) of reflexive relations on the same set (A), what is (\bigcap R_i)?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsCan the union of two non-reflexive relations ever be reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn (A={0,1,2}), (R={(a,b):a+b\text{ is divisible by }3}) is given. How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn integers, (R={(a,b):a \equiv b \pmod{3}}). What is correct about (R)?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn real numbers, (R={(x,y):x-y>0}). Which statement is correct about (R)?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn real numbers, (R={(x,y):x<y+1}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn real numbers, (R={(x,y):x-y\in \mathbb{Z}}) is given. Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsIf (f:A \to \mathbb{R}) and (R={(x,y):f(x)\le f(y)}), what is (R)?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsIf (f:A \to \mathbb{R}) and (R={(x,y):f(x)<f(y)}), what is correct about (R)?Class 12Relations and FunctionsReflexive relationLevel 8Hard 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 relationLevel 8Hard