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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 (A={1,2,3,4,5}), (aRb) if and only if (a+b) is even. What is the nature of (R)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn the set (A={1,2,3,4,6,12}), relation (R={(a,b)\in A\times A:a) divides (b)(}) is given. Which statement is correct for this relation?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsIf set (A) has (5) elements, how many relations on (A) are both reflexive and symmetric?Class 11Relations and FunctionsRelationsLevel 26Expert 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 MathematicsIf (A={1,2,3}) and (R={(1,2),(2,3),(1,3)}), which statement is correct for (R)?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 MathematicsIf \((2,5)\in R\) and the relation \(R\) is symmetric, which of the following pairs must also belong to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsOn the set \(A=\{1,2,3,4,5,6\}\), a relation \(R\) is defined by \(aRb\) if and only if \(a\equiv b\pmod{3}\). What is the equivalence class \([2]\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsOn the set \(A=\{1,2,3\}\), let \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\). What is the equivalence class \([1]_R\) of \(1\) with respect to \(R\)?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 MathematicsFor the relation \(R=\{(a,b)\in A\times A:a+b=6\}\) defined on \(A=\{1,2,3,4\}\), what is its domain?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (A={1,2,3}) and (R={(1,1),(1,2),(2,2),(2,3),(3,3)}), which missing pair causes a problem for transitivity?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (A={1,2,3,4,6}) and (R={(a,b):\operatorname{lcm}(a,b)=6}), which pair belongs to (R)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsLet \(A=\{1,2,3,4\}\) and define the relation \(R=\{(a,b)\in A\times A:a+b\le 5\}\). How many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf A = {1, 2, 3}, B = {x, y}, and R = {(1, x), (2, x), (3, y)}, what is the range of R?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsWhich of the following ordered pairs belongs to the identity relation I_A defined on A = {1, 2, 3, 4}?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsFor the relation (R={(a,b):a+b\text{ is odd}}) on (A={1,2,3,4}), which statement is correct?Class 11Relations and FunctionsRelationsLevel 26Expert