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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={1,2,3,4,5,6}), (R={(a,b):\operatorname{lcm}(a,b)=a}). Why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):\gcd(a,b)=1}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):\gcd(a,b)=a}), is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):\max(a,b)=b}). Which conclusion is correct?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):\min(a,b)=a}), what is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={-2,-1,0,1,2}), (R={(a,b):a+b>0}). How many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={-2,-1,0,1,2}) and (R={(a,b):a+b>0}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={-1,0,1}), (R={(a,b):ab\geq0}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={0,1,2}) and (R={(a,b):ab>0}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={0,1,2,3}), (R={(a,b):ab=0\Rightarrow a=b}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b=6}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). How many diagonal pairs are already in (R)?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):a+b=5}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=2a}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):a^2-b^2\text{ is odd}}), what is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a^2+b^2\text{ is even}}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a^2\equiv b^2 \pmod{3}}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b+1 \pmod{2}}). What is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{2}}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):a+b\text{ is odd}}), which statement is correct about (R)?Class 12Relations and FunctionsReflexive relationLevel 7Expert