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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।

MathematicsIf (|A|=4), how many relations on (A) must contain ((a,a)) for all (a\in A)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+2b=7}), how many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\equiv 0 \pmod{2}}). How many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf an equivalence relation \(R\) defined on the set \(A=\{1,2,3,4\}\) has equivalence classes \(\{1,4\}\) and \(\{2,3\}\), how many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b>7}), how many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (A={1,2,3}), how many reflexive relations on (A) do not include ((1,2))?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf A has 3 elements, how many relations on A are both reflexive and symmetric?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsIf (A={1,2,3}), how many symmetric relations are possible on (A)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf A has 4 elements, how many reflexive relations are possible on A?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsIf set \(A\) has 5 elements, how many total relations are possible on \(A\)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{3,4,5,6\}\), and \(R=\{(a,b)\in A\times B: b=a+2\}\), how many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsIf (A) has (4) elements, how many relations on (A) are reflexive, symmetric and antisymmetric all together?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsHow many ordered pairs are in the equivalence relation induced by the partition \(P=\{\{1,4\},\{2,3,5\}\}\) of the set \(\{1,2,3,4,5\}\)?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsHow many reflexive relations on (A={1,2,3,4}) have ((1,2)\notin R)?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsIf (A={1,2,3}) and (B={4,5,6,7}), how many relations from (A) to (B) contain exactly (3) ordered pairs?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b\equiv0\pmod{2}}), how many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsA relation \(R=\{(a,b):a,b\in A\text{ and }a+b=6\}\) is defined on the set \(A=\{1,2,3,4,5\}\). How many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsIf (A) has (n) elements, what is the number of antisymmetric relations on (A)?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsIf (A) has (n) elements, what is the formula for the number of reflexive relations on (A)?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsIf (A) has (n) elements, what is the correct formula for the total number of relations on (A)?Class 11Relations and FunctionsRelationsLevel 26Hard