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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 real numbers, (aRb) is defined when (a+b=0). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn integers, (aRb) is defined when (a-b) is odd. This relation is not transitive. Which counterexample is correct?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\le b\text{ and }b-a\le 2}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\le 1}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (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 relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(1,1),(2,2),(3,4),(4,3)}). Why is this relation not transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):b-a=1}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn real numbers, (aRb) is defined when (a<b+2). This relation is not transitive. Choose the correct counterexample.Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (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 relationExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b\text{ and }b-a\le 1}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn real numbers, (aRb) is defined when (a<b+1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2),(2,3)}). What is the correct reason for failure of transitivity?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn natural numbers, (aRb) is defined when (b=2a). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+1=b}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3}), (R={(1,2),(2,2),(2,3)}). What is the main reason transitivity fails?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn integers, (aRb) is defined when (a+b) is odd. Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Is it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (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 relationHard MathematicsOn natural numbers, (aRb) if (b=2a). What is the correct conclusion about (R)?Class 12Relations and FunctionsTransitive relationHard