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Class12

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIn (R={(a,b):a\le b}) on (A={1,2,3,4}), which is the least element?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsIf (R) is a reflexive relation, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsIf (A) has (5) elements, what is the number of relations on (A) that are both reflexive and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). What are the equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(1,3)}). Is this relation antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), relation (R=A\times A). Which relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsHow many ordered pairs are in the identity relation on (A={1,2,3,4})?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (R) is an equivalence relation and (aRb), what is true about ([a]) and ([b])?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4,6,12}), (R={(a,b):a) divides (b)(}). Which statement about ((3,12)) and ((12,3)) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn real numbers, (aRb) iff (a-b>0). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=5}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor (R={(1,2),(2,1)}) on (A={1,2,3}), how many minimum pairs must be added to make it reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor (R={(1,2)}) on (A={1,2,3}), which minimum pair must be added to make it symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor (R={(1,2),(2,3)}) on (A={1,2,3}), which minimum pair must be added to make it transitive?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) iff (a) and (b) leave the same remainder on division by (3). What is the class of (2)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4}), (R={(a,b): |a-b|) is even(}). How many equivalence classes are formed?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf a relation always contains ((a,c)) whenever it contains ((a,b)) and ((b,c)), which property does it have?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,3),(1,3)}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard