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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={1,2,3,4,6,12}), (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={1,2,3,4,5}), (R={(a,b):a+b) is even(}). How many ordered pairs are in the relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b}). How many ordered pairs are in the relation?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 MathematicsIf (R) and (S) are transitive relations on (A), which statement about (R\cup S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (R) and (S) are symmetric relations on (A), which statement about (R\cup S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (R) and (S) are reflexive relations on (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). 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 odd(}). What type of relation is it?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),(3,3),(1,2),(2,1),(2,3),(3,2)}). What is the main reason it is not an equivalence relation?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 MathematicsIf (A) has (n) elements, which formula gives the number of relations that are both reflexive and symmetric on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard