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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।

MathematicsOn the set \(A=\{1,2,3,4\}\), the relation \(R=\{(a,b):a\mid b\}\) is defined. Which of the following ordered pairs does not belong to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf the relation \(R=\{(1,4),(2,4),(2,5),(3,6)\}\), what is the range of \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf \(R\subseteq A\times B\) and \(R=\{(1,4),(2,4),(2,5),(3,6)\}\), what is the domain of \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a-b\text{ is divisible by }2}). What type of relation is (R)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (R=\varnothing) on (A={2,4,6}), which statement is correct?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf A = {1,2,3} and R = A×A, what type of relation is R?Class 11Relations and FunctionsCartesian product of setsLevel 26Medium MathematicsFor the relation (R={(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), choose the correct option.Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsOn set (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which statement is correct for (R)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsLet R be a relation on a set A defined by: for every a, b ∈ A, aRb if and only if a = b. What type of relation is R?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b)\in A\times A:a+b=5}), then how many elements are in (R)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsOn the set \(A=\{1,2,3,4,5,6\}\), let \(R=\{(a,b):a-b\equiv 0\pmod{5}\}\). What is the equivalence class \([1]\) under this relation?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+2b=7}), how many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf A = {1, 2, 3, 4, 5} and R = {(a, b) : a ≡ b (mod 4)}, what is the equivalence class [1] of 1 under R?Class 11Relations and FunctionsRelationsLevel 25Expert 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 FunctionsRelationsLevel 25Expert MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), which statement is correct about (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn the set \(A=\{1,2,3,4,5,6\}\), relation \(R\) is defined by: \(aRb\) means that \(a\) and \(b\) leave the same remainder when divided by 2. What is the equivalence class \([2]\) of 2 under this relation?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (R={(a,b):a=b \text{ or } a+b=5}) on (A={1,2,3,4}), what is (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsLet R = {(1,1), (2,2), (3,3), (4,4), (1,2), (2,1), (2,4), (4,2)} be a relation on A = {1, 2, 3, 4}. Which of the following properties does R fail to satisfy?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b \text{ is prime}}), which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn (A={2,3,4,6}), (R={(a,b):\operatorname{lcm}(a,b)=12}). Which property is true?Class 11Relations and FunctionsRelationsLevel 25Expert