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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={1,2,3,4,5,6}) and (R={(a,b):a=b\text{ and }a\equiv0 \pmod{2}}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\neq b\text{ and }a+b\text{ is even}}). Which statement is correct for (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a=b\text{ or }a+b\text{ is divisible by }3}), what is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={0,1,2,3,4}), (R={(a,b):|a-b|\leq a-1}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):|a-b|\leq a-1}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):(a-b)^2>0}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):(a-b)^2<1}), what is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={-2,-1,0,1,2}), (R={(a,b):ab\geq a+b}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={-2,-1,0,1,2}) and (R={(a,b):ab\geq a+b}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={-3,-2,-1,0,1,2,3}), (R={(a,b):a^2+b^2\leq9}). How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a+1\mid b+1}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a+1\mid b}). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a\mid b^2}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={2,3,4,5,6,8}), (R={(a,b):\operatorname{lcm}(a,b)\text{ is less than }5}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={2,3,4,5,6,8}) and (R={(a,b):\operatorname{lcm}(a,b)\text{ is less than or equal to }8}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):\gcd(a,b)\text{ is even}}). How many diagonal pairs must be added to make it reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):\gcd(a,b)\text{ is even}}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={0,1,2,3,4}), (R={(a,b):a^2+b=3a}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={0,1,2,3,4}) and (R={(a,b):a^2+b=3a}), how many diagonal pairs will (R) contain?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a^3-b\text{ is even}}). What is the correct reason that (R) is reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert