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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) or (a<b). Which standard relation is this, and what is its nature?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn the set of students of a school, (aRb) is defined when (a) and (b) have the same date of birth. What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{3}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn real numbers, (aRb) is defined when (a^3\le b^3). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn (A={1,2,3,4}), (R={(1,1),(1,2),(2,2),(3,3),(4,4),(2,1)}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a) is less than (b) and (b-a) is even(}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }a,b\text{ are both odd}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn a set of lines, (lRm) is defined when line (l) is parallel to line (m). For distinct lines in the same plane, why is this relation considered transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn the set of students in a class, (aRb) is defined when student (a) has the same age as student (b). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn real numbers, (aRb) is defined when (|a|\le |b|). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn integers, (aRb) is defined when (a-b) is even. What is the correct conclusion about this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn the set of points in a plane, (P R Q) is defined when (P) and (Q) have the same (x)-coordinate. What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn real numbers, (aRb) is defined when (a^2=b^2). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\ge b}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Is this relation transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsWhy is the universal relation (A\times A) transitive on any set (A)?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsWhat is the nature of the empty relation (\varnothing) on any non-empty set (A)?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn real numbers, (aRb) is defined when (a\le b). Choose the correct statement.Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsOn integers, (aRb) if (a=b) or (a-b) is divisible by (5). Choose the correct option about transitivity of (R).Class 12Relations and FunctionsTransitive relationLevel 15Hard