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If (R={(a,b):\min(a,b)=a}) is defined on real numbers, what is true about (R)?

Answer and explanation

Correct answer: It is not symmetric

Step 1: (\min(a,b)=a) means (a\le b). Step 2: ((1,2)) is in the relation, but ((2,1)) is not. Step 3: In such questions, first convert the condition into a familiar inequality.

Related tags

Minimum FunctionInequality RelationNon SymmetricClass 12Symmetric RelationRelations And FunctionsMathematicsClass 12 Mcq

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