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Class 12 Math

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f:[1,\infty)\to[0,\infty)) where (f(x)=x^2-2x+1), which option is correct for (f)?Class 12Relations and FunctionsReflexive relationExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b), what is the correct condition for (f) to be one-one?Class 12Relations and FunctionsOne-one functionExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=5), what type of function is it?Class 12Relations and FunctionsOne-one functionMediumMathematicsWhich three properties are required for a relation on a set to be called an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasyMathematicsOn (A={1,2,3,4}), the relation (R={(a,b):a\mid b}) is defined. Choose the correct option about (R).Class 12Relations and FunctionsTransitive relationHardMathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationMediumMathematicsHow many symmetric relations can be formed on a set having three elements?Class 12Relations and FunctionsSymmetric relationHardMathematicsOn the set (A={1,2,3,4,5}), the relation (R={(a,b):a+b\text{ is even}}) is given. Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationHardMathematicsHow many different symmetric relations can be formed on the set (A={1,2,3,4})?Class 12Relations and FunctionsSymmetric relationHardMathematicsWhat is the nature of (R={(1,2),(2,1),(2,4),(4,2),(3,3)})?Class 12Relations and FunctionsSymmetric relationEasyMathematicsOn the set (A={1,2}), the relation (R={(1,1),(1,2),(2,1)}) is given. What type of relation is it?Class 12Relations and FunctionsSymmetric relationEasyMathematicsIf (A) has (5) elements, what is the total number of relations on (A)?Class 12Relations and FunctionsTypes of relationsMediumMathematicsOn natural numbers, (aRb) if (a) divides (b). Which property is correct?Class 12Relations and FunctionsTypes of relationsMediumMathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Which type of relation is it definitely?Class 12Relations and FunctionsTypes of relationsMediumMathematicsIf (R={(1,1),(2,2)}) is a relation on the set (A={1,2}), what type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsEasy

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