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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 (A) has (5) elements and (R=A\times A), how many equivalence classes will (R) have?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn the set (A={1,2,3,4,5,6}), relation (R) is defined by ((a,b)\in R) if (a-b) is divisible by (3). How many equivalence classes does this relation have?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn the set of non-zero real numbers, (aRb) if and only if (\frac{a}{b}>0). On what basis is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsIf (R) and (S) are equivalence relations on (A) and (R\subseteq S), which statement is always true?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4}), let (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). Which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationHard MathematicsIf (R) and (S) are equivalence relations on (A) and (R\subseteq S), what is the relation between the classes of (R) and the classes of (S)?Class 12Relations and FunctionsEquivalence relationHard MathematicsIf (R) is an equivalence relation and (aRb), (bRc), (cRd), which conclusion must be true?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3}), (aRb) when (a=b) or both are from (1) and (2). What type of relation is (R)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsThe set (A={1,2,3,4}) is divided into parts ({1}), ({2,4}), ({3}). What type of relation is formed from this partition?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,4),(4,1)}). What is the correct statement about (R)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,3)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(3,4)})?Class 12Relations and FunctionsIntroduction to RelationsExpert