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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।

MathematicsIf (R) is an equivalence relation and ((a,b)\in R), which statement is necessarily true?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn all students, (xRy) if and only if (x) and (y) study in the same class. What will be the equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsHow many equivalence relations on (A={1,2,3,4,5}) have (1) and (2) in the same class, but (3) not in that class?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6}), relation (R) has classes ({1,2,6},{3,5},{4}). Along with ((6,1)) and ((5,3)), which pair must be in (R)?Class 12Relations and FunctionsEquivalence relationHard MathematicsHow many equivalence relations on (A={1,2,3,4,5}) have (1,2,3) in the same class?Class 12Relations and FunctionsEquivalence relationHard MathematicsIf ([x]={1,4,7}) in an equivalence relation, which of the following pairs is definitely in the relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsIf ([a]={2,5,8}) and the relation is an equivalence relation, which pair must surely belong to the relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn a set of students, (aRb) holds when (a) and (b) study in the same class. What type of relation is it?Class 12Relations and FunctionsEquivalence relationMedium MathematicsIf (R) is an equivalence relation and (aRb), what is correct about the equivalence classes of (a) and (b)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsThe set (A={1,2,3,4}) is divided into parts ({1,3}) and ({2,4}). What type of relation is being in the same part?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf (aRb) means students (a) and (b) study in the same class, what type of relation is it on a set of students?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4,5,6}), (aRb) is defined when (a) and (b) are both even or both odd. What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert