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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 integers, (aRb) if (|a-b|\leq 2). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18HardMathematicsOn integers, (aRb) holds when (a-b) is divisible by (8) or by (12). Why is this relation not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17HardMathematicsOn (A={1,2,3,4,5}), (aRb) holds when (|a-b|\leq 1). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsOn integers, (aRb) holds when (a-b) is divisible by (4) or by (6). Why is this relation not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16HardMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is odd}}). Choose the correct counterexample.Class 12Relations and FunctionsTransitive relationLevel 15ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\le b\text{ and }b-a\le 3}). This relation is not transitive. Choose the correct counterexample.Class 12Relations and FunctionsTransitive relationLevel 15ExpertMathematicsOn real numbers, (aRb) is defined when (a-b<5). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=7}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\ne b}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn real numbers, (aRb) is defined when (a\le b+1). This relation is not transitive. Choose the correct example.Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Which counterexample correctly tests transitivity?Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn integers, (aRb) is defined when (a-b) is odd. This relation is not transitive. Which counterexample is correct?Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\le 1}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is odd}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn real numbers, (aRb) is defined when (a<b+2). This relation is not transitive. Choose the correct counterexample.Class 12Relations and FunctionsTransitive relationLevel 14ExpertMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is odd}}). This relation is not transitive. Which is the correct counterexample?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+1=b}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn integers, (aRb) is defined when (a+b) is odd. Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn (A={1,2,3,4,5}), (aRb) if (a\le b) and (b-a\le2). Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationLevel 15Hard