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

MathematicsIf (f(x)=\sin 3x+\cos 5x), what is the fundamental period of (f(x))?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesHard MathematicsIf \(f(\theta)=\sin \theta+\cos \theta\), then \(f\left(\frac{\pi}{2}-\theta\right)\) is equal to what?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsOn positive real numbers, (a*b=ab) is defined. Choose the correct option about (a*b=b*a) and ((a*b)*c=a*(b*c)).Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)}). Is (R) an equivalence relation?Class 12Relations and FunctionsEquivalence relationHard MathematicsFor a non-empty set (A), which statement about the universal relation (A\times A) is correct?Class 12Relations and FunctionsEquivalence relationHard MathematicsA relation (R) on a set (A) is reflexive and symmetric but not transitive. Which conclusion about (R) is correct?Class 12Relations and FunctionsEquivalence relationHard MathematicsIf (R) and (S) are both equivalence relations on a set (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsEquivalence relationHard MathematicsWhen is a relation (R) on a set (A) called an equivalence relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsWhich option is correct for calling a relation (R) an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf (R) is reflexive, symmetric, and transitive, what is (R) called?Class 12Relations and FunctionsEquivalence relationEasy MathematicsWhich three properties are required for a relation on a set to be called an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf (R) is an equivalence relation, which statement is always true?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf (R) is a symmetric relation on a set (A), which statement is true for (R^{-1})?Class 12Relations and FunctionsSymmetric relationHard MathematicsIf (R) and (S) are both symmetric relations on (A), which of the following relations is definitely symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsWhich option shows that a symmetric relation need not be transitive?Class 12Relations and FunctionsSymmetric relationMedium MathematicsWhich option gives a relation (R) that is symmetric but not reflexive?Class 12Relations and FunctionsSymmetric relationMedium MathematicsIf (R) is an equivalence relation, choose the correct statement about (R^{-1}).Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) and (S) are reflexive relations, choose the correct statement about (R\cup S).Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) and (S) are symmetric relations, which statement about (R\cap S) is correct?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) and (S) are equivalence relations, which statement about (R\cap S) is correct?Class 12Relations and FunctionsTypes of relationsExpert