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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f:{1,2,3,4,5}\to{0,1}) is given by (f(x)=0) when (x) is even and (f(x)=1) when (x) is odd, what is (f^{-1}({0}))?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf \\(A=\{1,2,3,4,5\}\\) and \\(B=\{0,1\}\\), and in relation \\(R\\), \\(y=0\\) for even \\(x\\) and \\(y=1\\) for odd \\(x\\), is \\(R\\) a function from \\(A\\) to \\(B\\)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsOn the set \(A=\{1,2,3,4\}\), define relation \(R\) by \((a,b)\in R\) if and only if \(a+b\) is even. Find the equivalence classes of \(R\).Class 11Relations and FunctionsRelationsExpert MathematicsOn (\mathbb{N}), (aRb) if and only if (a+b) is odd. What is the correct statement about (R)?Class 11Relations and FunctionsRelationsExpert MathematicsFor (A={1,2,3,4}), relation (R={(a,b):a\equiv b\pmod{2}}). Which partition is formed by (R)?Class 11Relations and FunctionsRelationsExpert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b) is even. What is the nature of (R)?Class 11Relations and FunctionsRelationsExpert MathematicsOn (A={1,2,3,4}), for (R={(a,b):a+b\text{ is even}}), what are the equivalence classes?Class 11Relations and FunctionsRelationsExpert MathematicsFor the relation (R={(a,b):a+b\text{ is odd}}) on (A={1,2,3,4}), which statement is correct?Class 11Relations and FunctionsRelationsExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\equiv 0 \pmod{2}}). How many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsExpert MathematicsIf A={1,2,3,4} and R={(a,b)∈A×A : ab is even}, which statement about R is correct?Class 11Relations and FunctionsRelationsExpert MathematicsOn the set \(A=\{1,2,3,4\}\), define the relation \(R=\{(a,b)\in A\times A: a+b\text{ is even}\}\). What is the equivalence class \([1]\) under this relation?Class 11Relations and FunctionsRelationsExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b \text{ is odd}}). Which property fails for (R)?Class 11Relations and FunctionsRelationsExpert MathematicsOn integers, (aRb) if and only if (a-b) is a multiple of (2). Which class is ([11])?Class 11Relations and FunctionsRelationsHard MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b\equiv0\pmod{2}}), how many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b \text{ is odd}}). What is the correct option for this relation?Class 11Relations and FunctionsRelationsHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b \text{ is odd}}). Choose the correct statement for (R).Class 11Relations and FunctionsRelationsHard MathematicsOn integers, (aRb) if and only if (a+b) is even. What are the equivalence classes?Class 11Relations and FunctionsRelationsHard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a+b \text{ is even}}) is given. Which type of relation is it?Class 11Relations and FunctionsRelationsHard MathematicsOn (A={1,2,3,4}), which statement is correct for (R={(a,b):a+b \text{ is even}})?Class 11Relations and FunctionsRelationsHard MathematicsFor (R={(a,b):a) and (b) have the same parity(}) on (A={1,2,3,4}), what is correct?Class 11Relations and FunctionsRelationsHard