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Introduction To Relations

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 total number of relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsHard 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 RelationsHard MathematicsOn real numbers, (aRb) iff (a<b). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn real numbers, (aRb) iff (a^2=b^2). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn real numbers, (aRb) iff (a-b) is rational. What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b) is even(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard 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 RelationsHard MathematicsIf (R) is an equivalence relation on (A), which statement about its equivalence classes is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn which set can the empty relation be considered reflexive?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsWhich statement is always true for the universal relation on a set (A)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsWhich is the smallest reflexive relation on (A={1,2,3})?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf a relation is both symmetric and antisymmetric, what is true about its off-diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsHard 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 RelationsHard 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 RelationsHard MathematicsOn (A={1,2,3,4}), relation (R={(a,b):a) divides (b)(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor real numbers, relation (R) is defined by (aRb) iff (a\le b). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsHard 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 RelationsHard MathematicsHow many relations on (A={1,2,3}) are both reflexive and symmetric?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsHow many symmetric relations are there on (A={1,2,3})?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (A) has (4) elements, what is the number of reflexive relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsHard