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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}), (R={(a,b):a+b\text{ is odd}}). Choose the correct counterexample.Class 12Relations and FunctionsTransitive relationExpert MathematicsOn real numbers, (aRb) is defined when (a^2+b^2\le 1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn real numbers, (aRb) is defined when (a+b\ge 0). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn real numbers, (aRb) is defined when (a=b) or (a=b+1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }b-a\text{ is odd}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):\gcd(a,b)=1}). Why is this relation not transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (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 relationExpert MathematicsOn real numbers, (aRb) is defined when (a-b<5). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\ne b\text{ and }a+b\text{ is even}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn real numbers, (aRb) is defined when (|a|\le |b|+1). 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-b|=2}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=7}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(1,1),(3,4),(4,3),(3,3),(4,4)}). Why is this relation not transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn natural numbers, (aRb) is defined when (b=3a). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\ne b}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn real numbers, (aRb) is defined when (a\le b+1). This relation is not transitive. Choose the correct example.Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3),(2,1)}). Which is a failure of transitivity?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Which counterexample correctly tests transitivity?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):\gcd(a,b)=1}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn natural numbers, (aRb) is defined when (b=a^2). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert