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Inverse Relation

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIn which option is (R) a function from (A={1,2,3,4}) to (B={5,6,7,8}), but (R^{-1}) is not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:{1,2,3,4,5,6}\to{1,2,3,4,5,6}) is given by (f(x)=7-x), which statement about (f^{-1}) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIn which option is (R) a function from (A={1,2,3}) to (B={4,5,6}), but (R^{-1}) is not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:{1,2,3,4,5}\to{1,2,3,4,5}) is given by (f(x)=6-x), which statement about (f^{-1}) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIn which option is relation (R) a function from (A={0,1,2}) to (B={0,1,2}), but (R^{-1}) is not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:{1,2,3,4}\to{1,2,3,4}) is given by (f(x)=5-x), which statement about the inverse relation (f^{-1}) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2), why is (f^{-1}) as a relation not a function from (\mathbb{R}) to (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f={(1,3),(2,5),(3,7)}), why is the reversed relation ({(3,1),(5,2),(7,3)}) a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f={(1,2),(2,4),(3,6)}), what will (f^{-1}={(2,1),(4,2),(6,3)}) be considered from ({2,4,6}) to ({1,2,3})?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3}), (B={2,4,6}), and (f={(1,2),(2,4),(3,6)}), is the reversed relation like (f^{-1}={(2,1),(4,2),(6,3)}) a function from (B) to (A)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (R) is a reflexive relation on (A), which statement about (R^{-1}) is correct?Class 11Relations and FunctionsRelationsExpert MathematicsIf (R={(x,y)\in \mathbb{Z}\times\mathbb{Z}:x-y=3}), how can (R^{-1}) be written?Class 11Relations and FunctionsRelationsExpert MathematicsIf \(R=\{(1,2),(2,3),(1,3)\}\) and \(S=\{(2,1),(3,2),(3,1)\}\), what is \(S\) in relation to \(R\)?Class 11Relations and FunctionsRelationsExpert MathematicsFor which type of relation is the inverse relation equal to the relation itself, that is, \(R^{-1}=R\)?Class 11Relations and FunctionsRelationsExpert MathematicsIf a relation \(R\) on a set satisfies \(R=R^{-1}\), which property does \(R\) definitely have?Class 11Relations and FunctionsRelationsHard MathematicsIf R = {(1, 2), (2, 1), (3, 3)}, which ordered pair belongs to R⁻¹?Class 11Relations and FunctionsRelationsMedium MathematicsIf (R={(1,3),(2,4),(3,5)}), what is (R^{-1})?Class 11Relations and FunctionsRelationsMedium MathematicsIf \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\), what is the inverse relation \(R^{-1}\) of \(R\)?Class 11Relations and FunctionsRelationsMedium MathematicsIf (R={(1,3),(2,5),(4,9)}), which is (R^{-1})?Class 11Relations and FunctionsRelationsMedium MathematicsIf (A={1,2,3}) and (R={(1,2),(2,3)}), what is (R^{-1})?Class 11Relations and FunctionsRelationsMedium