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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 on (A={2,4,6}), (aRb) if (a-b) is divisible by (2), what kind of relation is (R)?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf (A={1,2,3,4}) and (R={(x,y):x\leq y}), which properties does (R) have?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf A = {1, 2, 3, 4} and R = {(x, y) : x + y = 5}, which property does R have?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsWhen is a relation (R) called transitive?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsWhen is a relation R called symmetric?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIn which relation must ((a,a)\in R) for every (a\in A)?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf the relation \(R\) on the set \(A=\{1,2,3,4,5,6\}\) is defined by \(aRb\) if and only if \(a\equiv b\pmod{3}\), what is the equivalence class of \(1\)?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsLet a relation R on the set A = {1, 2, 3, 4} be defined by a R b if and only if a ≡ b (mod 2). How many equivalence classes does R have?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsOn (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) an equivalence relation?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf (R={(1,2),(2,3)}) on (A={1,2,3}), why does transitivity fail?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsOn (A={1,2,3}), which property is satisfied by (R={(1,1),(1,2),(2,1),(2,2),(3,3)})?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf \(R=\{(1,4),(2,5),(3,6)\}\), which rule represents \(R\) for the given ordered pairs?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf \(A=\{1,2,3\}\), \(B=\{2,4,6\}\), and \(R=\{(a,b): b=2a\}\), what is the range of \(R\)?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf A = {1, 2, 3, 4} and R = {(a, b) : a + b ≤ 5}, which ordered pair is not in R?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsOn A={1,2,3,4}, how many ordered pairs belong to R={(a,b): |a−b|=1}?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsLet \(S=\{1,2,3\}\). Which of the following relations on \(S\) is an equivalence relation?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf on A={1,2,3,4,6}, aRb means a is a multiple of b, which pair is in R?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf \(A=\{1,2,3,4\}\) and \(R\) is the relation consisting of ordered pairs for which \(a+b\) is odd, which of the following pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf R = {(1, 2), (2, 1), (3, 3)}, what is the main reason that R is symmetric?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 26Medium MathematicsWhy is the relation \(R=\{(1,1),(2,2)\}\) defined on the set \(A=\{1,2,3\}\) not reflexive?Class 11Relations and FunctionsRelationsLevel 26Medium