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Minimum Function

Class 12 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}), (a*b=\min(a+b,4)). Is this operation closed on (A)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\min{x,1}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\min{x^2,4}), what is the range of (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (\min(a,b)) is odd. Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (\min(a,3)=\min(b,3)). What is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) holds when (\min(a,5)=\min(b,5)). Which is the equivalence class of (7)?Class 12Relations and FunctionsEquivalence relationHard MathematicsIf (R={(a,b):\min(a,b)=a}) is defined on real numbers, what is true about (R)?Class 12Relations and FunctionsSymmetric relationExpert