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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।

MathematicsIf (A={-2,-1,0,1,2}) and (R={(a,b):a^2+b^2\leq 4}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+1\mid b+1}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a\mid b+1}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b\text{ and }b\mid a}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={2,3,4,5,6}) and (R={(a,b):\operatorname{lcm}(a,b)<6}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={2,3,4,6,8,12}), (R={(a,b):\operatorname{lcm}(a,b)\leq 12}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):\gcd(a,b)>1}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a^2-a=b^2-b}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a^2+b=2a+1}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,3,4}), (R={(a,b):a^2-b\text{ is even}}). What is the reflexivity status of (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a\equiv 2b \pmod{3}}), how many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={0,1,2,3,4}), (R={(a,b):a^2\equiv b^2 \pmod{4}}). What is the correct reason for (R) being reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a^2+b^2\text{ is divisible by }5}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsLet (A={1,2,3,4,5,6}) and (R={(a,b)\in A\times A:a+b\text{ is divisible by }4}). What is the minimum number of pairs required to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8ExpertMathematicsOn (A={1,2,3}), how many reflexive relations satisfy that if ((1,2)) is present then ((2,1)) is absent?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsIf (A) has (n) elements, what is the number of reflexive relations having exactly (n+3) pairs?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={1,2,3,4}), (R) is reflexive and has exactly 7 pairs. How many such relations are possible?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Which pair must appear in (R\circ R)?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsIf (R) is reflexive on (A) and (I_A) is the identity relation, what is correct about (R\cap I_A)?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsIf (R) is reflexive on (A) and (I_A) is the identity relation, what is correct about (R\cup I_A)?Class 12Relations and FunctionsReflexive relationLevel 7Hard