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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 A = {1,2,3,4} and R = {(a,b) : a+b=5}, which pair belongs to R∘R?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsLet \(A=\{1,2,3,4\}\), and define a relation \(R\) on ordered pairs of elements of \(A\) such that \((a,b)\in R\) if and only if \(a+b\) is prime. Which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsOn A = {1,2,3,4,5}, let R = {(a,b) : a + b = 2a}. Which identity does R simplify to?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf A = {1,2,3,4,5} and R = {(a,b) : a = 2b}, how many pairs are in R?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsFor the relation R={(a,b)∈A×A : a+b=7} defined on A={1,2,3,4}, what is its range?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (R) is transitive, ((1,4)\in R), and ((4,6)\in R), which pair must be in (R)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsLet \(A=\{1,2,3,4\}\) and \(R=\{(a,b)\in A\times A:a^2+b^2=25\}\). How many ordered pairs are in the relation \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf \(A=\{1,2\}\) and \(B=\{3,4,5\}\), how many subsets does \(A\times B\) have in total?Class 11Relations and FunctionsCartesian product of setsLevel 21Easy MathematicsOn A = {1,2,3,4,5,6}, let R = {(a,b) : gcd(a,b) = 1}. Which property is correct for this relation?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 26Hard 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 MathematicsA relation R is defined on the set A = {1, 2, 3, 4} by R = {(a, b) : a + b = 6}, where a, b ∈ A. How many ordered pairs does R contain?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf \(A=\{1,2,3,4,5\}\) and \(R=\{(a,b)\in A\times A:a+b\le 6\}\), which statement is correct about \(R\)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf A has 3 elements, how many relations on A are both reflexive and symmetric?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsOn A = {1,2,3,4}, let R = {(a,b) : a divides b}. Which statement about R is correct?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Hard MathematicsThe set A is partitioned into P = {{1,2}, {3,4,5}, {6}}. How many ordered pairs are in the equivalence relation induced by this partition?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn A = {1, 2, 3, 4, 5}, let R = {(1,2), (2,4), (4,5)}. What is the minimum number of pairs that must be added to make R transitive?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn the students of a class, define aRb if and only if a and b have the same birth month. What type of relation is R?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsOn A = {0, 1, 2, 3, 4}, let R = {(a, b) : a + b ≡ 0 (mod 5)}. How many ordered pairs are in R?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsIf A has 6 elements, what is the number of symmetric relations on A?Class 11Relations and FunctionsCounting symmetric relationsLevel 27Hard MathematicsOn A = {0, 1, 2, 3, 4, 5, 6, 7}, define aRb if and only if a − b is divisible by 4. How many equivalence classes are there?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 27Medium