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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}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,1)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={1,2,3,4,6,12}), how many pairs are there?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a<b})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), how many pairs are in (R={(a,b):a-b\equiv0\pmod2})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), (aRb) iff (a\equiv b\pmod 3). How many equivalence classes are formed?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (ab\ge0). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (ab>0). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (a-b>1). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (|a-b|<1). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (|a-b|\le 1). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (a-b\in\mathbb{Q}). What is the equivalence class of (\sqrt{2})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn integers, (aRb) iff (a+2b) is divisible by (4). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn integers, (aRb) iff (2a+3b) is divisible by (5). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), how many equivalence relations have exactly three equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), how many relations are reflexive and therefore cannot be irreflexive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (A) has (3) elements, how many antisymmetric relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):\gcd(a,b)=1}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b) is divisible by (3)(}). How many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many reflexive relations are not symmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many relations contain exactly two diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsExpert