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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA set (A) has (5) elements. What is the number of symmetric relations on (A)?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsIf A = {1, 2, 3} and B = {2, 3, 4}, how many relations from A to B contain exactly 2 ordered pairs?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsOn the set \(A=\{1,2,3,4,6,12\}\), a relation \(R\) is defined by \(aRb\) if and only if \(a\mid b\). Which of the following ordered pairs does not belong to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a) divides (b)(}). Choose the correct option for (R).Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Which pair must be added minimally to make (R) transitive?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1)}), which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a<b}). Which statement is correct?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a \leq b}). Which type of relation is it?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsIf (A) has (4) elements, then how many total relations can be defined on (A)?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsHow many relations on (A={1,2,3}) are reflexive?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a-b) is divisible by (3). What is the number of equivalence classes?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a+b \text{ is even}}) is given. Which type of relation is it?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn (A={1,2,3,4}), which statement is correct for (R={(a,b):a+b \text{ is even}})?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsIf (A={1,2,3,4}) and (R={(a,b):a+b \text{ is divisible by } 3}), how many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn the set A={1,2,3}, which pair must be added, at minimum, to make the relation R={(1,1),(2,2),(3,3),(1,2),(2,1)} an equivalence relation?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b):a\leq b\}\). When the first element is \(4\), which set contains all the second elements related to it?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsFor (R={(a,b):a) and (b) have the same parity(}) on (A={1,2,3,4}), what is correct?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsFor the relation \(R=\{(a,b):a\ne b\}\) on the set \(A=\{1,2,3\}\), choose the correct statement.Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn the set \(P=\{\{1\},\{2\},\{1,2\}\}\), what type of relation is \(R=\{(A,B): A\subseteq B,\ A,B\in P\}\)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsWhich properties are needed for relation (R) on set (A) to be a partial order?Class 11Relations and FunctionsRelationsLevel 25Hard