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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={1,2,3,4,5,6,7,8,9}), (aRb) if and only if (a) and (b) are both multiples of (3) or both not multiples of (3). How many ordered pairs are in this relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn a set with (5) elements, exactly (2) equivalence classes are required. Which option gives possible class sizes?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsIf the quotient set of an equivalence relation on (A) is (A/R={{1,4},{2,3,5}}), how many ordered pairs are in (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn a set with (8) elements, an equivalence relation has class sizes (2,2,4). How many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) leave the same remainder on division by (3)(}). How many ordered pairs are in (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsAn equivalence relation on a set (A) has class sizes (1,2,4). If (A) has (7) elements, how many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) if and only if (a) and (b) are of the same type: both less than (4) or both greater than or equal to (4). How many ordered pairs are there?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5,6,7,8,9}), (aRb) if and only if (a) and (b) leave the same remainder when divided by (3). How many ordered pairs are in this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn all subsets of (A={1,2,3,4}), (XRY) if and only if (|X|=|Y|). How many subsets are in the equivalence class of ({1,2})?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsA partition of (A={1,2,3,4}) is ({{1,4},{2},{3}}). How many ordered pairs will be in the equivalence relation formed by it?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsIf (A) has (4) elements, how many equivalence relations have all elements in one class?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsIf (A) has (4) elements, how many equivalence relations have no two distinct elements in the same class?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={1,2,3,4}), how many symmetric relations contain no diagonal pair?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn (A={1,2,3,4}), how many symmetric relations must contain all diagonal pairs ((a,a))?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsWhat is the correct general form for the number of symmetric relations on an (n)-element set?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsIf (A) has (4) elements, how many symmetric relations have no diagonal pair?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (A) has (4) elements, how many symmetric relations necessarily contain all diagonal pairs?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsWhat is the total number of symmetric relations on (A={1,2,3,4,5})?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsHow many symmetric relations are possible on the set (A={1,2,3,4})?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsFor a set A with n elements, how many unordered pair-positions must be chosen to specify a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 11Expert