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Identity Relation

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}), the identity relation is (I_A={(1,1),(2,2),(3,3)}). What is the correct nature of (I_A)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsIf (R={(a,b):a+b=5}) on (A={1,2,3,4}), what is (R\circ R) equal to?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}), what is the smallest reflexive relation on (A)?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 MathematicsWhich is the identity relation I_A on A = {1,2,3}?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsWhich is the smallest reflexive relation on the set \(A=\{1,2,3\}\)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsIf (R={(1,1),(2,2),(3,3)}) on (A={1,2,3}), what type of relation is (R)?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsIf A={1,2,3} and R={(1,1),(2,2),(3,3)}, what type of relation is R?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 26Easy MathematicsFor R = {(1,1), (2,2), (3,3)} on A = {1,2,3}, which statement is correct?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf \(A=\{1,2,3\}\) and \(B=\{4,5\}\), what is any subset of \(A\times B\) called?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf A={1,2,3,4} and R={(a,b)∈A×A : a=b}, how many ordered pairs does R contain?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf a relation \(R=\{(x,x)\mid x\in A\}\) is defined on a set \(A\), what is \(R\) called?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf A = {5, 7}, which is the identity relation on A?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf A={1,2,3}, what is the identity relation I_A?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf A = {1, 2} and R = {(1, 1), (2, 2)}, what type of relation is R?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf \(A=\{1,2,3\}\) and \(R=\{(x,y):x-y=0,\ x,y\in A\}\), then which of the following is equal to \(R\)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf (A={a,b,c}), how many pairs will be in the identity relation on (A)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf R = {(1, 1), (2, 2), (3, 3)} is a relation on A = {1, 2, 3}, what is the domain of R?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf R = {(1,1), (2,2), (3,3), (1,2)} on A = {1,2,3}, which extra pair is different from the identity relation?Class 11Relations and FunctionsRelationsLevel 25Easy