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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) if (a<b+1). What is the correct conclusion for (R)?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn integers, (aRb) if (a+b) is divisible by (4). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is odd}}). Choose the correct conclusion about (R).Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn real numbers, (aRb) if (a\le b+2). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsIf (R) and (S) are transitive, which statement about (R\cup S) is correct?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=5}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|=1}). Which option is correct for (R)?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn real numbers, (aRb) if (ab<0). What type is (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn real numbers, (aRb) if (a\le 2b). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }0<a-b<2}), what type is (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn natural numbers, (aRb) if (a) and (b) have a common divisor, that is (\gcd(a,b)>1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(1,2),(2,3),(1,3)}) and (S={(1,3),(3,4),(1,4)}), what type is (R\cup S)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }a=b^2}), is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn real numbers, (aRb) if (a-b) is irrational. What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn real numbers, (aRb) if (a<b<a+2). Is the relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (S) is transitive and (R\subseteq S), is (R) always transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }|a-b|<1}), is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn sets, (A,R,B) if (A\cap B=\varnothing). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIs the union (R\cup S) of two transitive relations always transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(a,b):a,b\in\mathbb{Z}\text{ and }a+b\text{ is odd}}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard