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Parity

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}), (R={(a,b):a^2+b^2\text{ is even}}). Which statement is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is odd}}). What is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is even}}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|\text{ is even}}). What is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is odd}}). What is the correct statement about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a+b\text{ is even}}) is defined. What type of relation is it with respect to symmetry?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). What is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\equiv b \pmod{2}}). Choose the correct option about (R).Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4,5}), what type is (R={(a,b):a\equiv b \pmod{2}})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsThe relation (R={(a,b):a) and (b) have the same parity(}) is given on integers. What is it?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsFor (R={(a,b):a-b\text{ is even}}) on (A={1,2,3}), which statement is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Easy 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={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 MathematicsIf (A={1,2,3,4}) and (R={(a,b):a\neq b\text{ or }a+b\text{ is even}}), what is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a=b\text{ or }a+b\text{ is odd}}), what is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):|a-b|\text{ is even}}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (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 8Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):a=b\text{ and }a+b\text{ is even}}), what is the correct conclusion about (R)?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