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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 (n) elements, which formula gives the number of symmetric relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (A) has (n) elements, which formula gives the number of reflexive relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (A) has (n) elements, which formula gives the total number of relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn real numbers, (aRb) iff (a<b). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn real numbers, (aRb) iff (a^2=b^2). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn real numbers, (aRb) iff (a-b) is rational. What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b) is even(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn integers, (aRb) iff (a) and (b) leave the same remainder when divided by (4). What is the equivalence class of (0)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (R) is an equivalence relation on (A), which statement about its equivalence classes is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn which set can the empty relation be considered reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsWhich statement is always true for the universal relation on a set (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsWhich is the smallest reflexive relation on (A={1,2,3})?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf a relation is both symmetric and antisymmetric, what is true about its off-diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Which property is missing?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4}), relation (R={(a,b):a) divides (b)(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor real numbers, relation (R) is defined by (aRb) iff (a\le b). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn the set of integers, relation (R) is defined by (aRb) if (a-b) is divisible by (5). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsHow many relations on (A={1,2,3}) are both reflexive and symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard