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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 (4) elements, how many relations on (A) are both irreflexive and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (A) has (n) elements, what is the number of relations on (A) that are both symmetric and irreflexive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many relations are neither reflexive nor irreflexive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,3,5,30}), how many maximal elements are there?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,3,5,30}), how many minimal elements are there?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b}). Why is this relation a partial order?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) is an equivalence relation, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) is a relation on a set (A), when will (R^{-1}) be symmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) and (S={(1,1),(2,2),(3,3),(2,3),(3,2)}). Why is (R\cup S) not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(3,4)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), starting from (R={(1,2),(2,3)}), how many pairs will the smallest relation containing (R) and being reflexive, symmetric and transitive have?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsFor (R={(1,2),(2,3),(3,4)}) on (A={1,2,3,4}), how many minimum pairs must be added to form the transitive closure?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Which minimum pair must be added for transitivity?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(3,3)}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsFor a non-empty set (A), which statement about the empty relation is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (a^2+b^2=0). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (|a|=|b|). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (a^2\le b^2). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (a-b) is irrational. Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert