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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (\min(a,b)) is odd. Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn all lines, (lRm) if and only if (l) and (m) intersect. Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn all real numbers, (aRb) if and only if (a-b\ge 0). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn all real numbers, (aRb) if and only if (a-b) is irrational. Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn all real numbers, (aRb) if and only if (a^2+b^2=0). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn positive real numbers, (aRb) if and only if (\frac{\ln a}{\ln b}) is defined and rational. Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn all real numbers, (aRb) if and only if (|a|+|b|=0). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b=6). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (\max(a,b)) is even. Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a\le b). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn real numbers, (aRb) if and only if (|a-b|<1). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsFor real numbers, (aRb) if (a\le b). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3}), why is (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsWhy is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) not an equivalence relation on (A={1,2,3})?Class 12Relations and FunctionsTypes of relationsEasy MathematicsWhy is the empty relation not an equivalence relation on a non-empty set?Class 12Relations and FunctionsTypes of relationsEasy