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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 integers, (aRb) holds when (a) and (b) are both even or both not even. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a\equiv b \pmod{2}). Which partition is formed by this relation?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a+b) is divisible by (2). Which is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsOn (A={1,2,3,4}), (aRb) holds when (a+b) is even. Which pair belongs to (R)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn (A={1,2,3,4,5}), (aRb) holds when (|a-b|) is even. What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn (A={1,2,3,4}), (aRb) holds when (a) and (b) are both even or both odd. What are the equivalence classes?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn (A={1,2,3,4}), (aRb) when (a+b) is even. Choose the correct statement.Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn the set (A={1,2,3,4}), relation (R) is defined by (aRb) when (a) and (b) are both even or both odd. What type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsIf (R) is defined on integers by (aRb) when (a-b) is even, then what type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn (A={1,2,3,4}), how many equivalence classes are formed by the same parity relation?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn natural numbers, (aRb) if (a) and (b) are both even or both odd. What is this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\ne b\text{ and }a+b\text{ is even}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is even}}). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{2}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn natural numbers, (aRb) is defined when (a+b) is even. Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn integers, (aRb) if (a+b) is even. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Medium MathematicsOn A = {1, 2, 3, 4}, let R = {(a,b): a + b is even}. What type of relation is R?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is odd}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). Which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (R={(a,b):a-b\text{ is even}}) is a relation on integers, what type is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Expert