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Diagonal Pairs

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

MathematicsWhich option gives a relation that is not symmetric but contains some diagonal pairs?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsChoose the correct option for (R={(1,1),(2,2),(3,3)}).Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsIf (R={(1,1),(2,2),(3,3)}), what type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 11Easy MathematicsIn which relation is symmetry automatically satisfied?Class 12Relations and FunctionsSymmetric relationLevel 11Easy MathematicsIf (R) contains only ((5,5)) and ((7,7)), is (R) symmetric or not?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf a relation is made only of pairs like ((a,a)), what can be said about symmetry?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={2,3,4,5,6,7}), ((a,b)\in R) if (a) and (b) have a common prime factor. How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={2,3,4,5,6,8}) and (R={(a,b):\operatorname{lcm}(a,b)\text{ is less than or equal to }8}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsLet (A={1,2,3,4,5,6,7,8}) and (R={(a,b)\in A\times A:a+b\text{ is divisible by }6}). What is the minimum number of pairs needed to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4}), (R) is such that ((a,b)\in R) if ((a-b)^2\leq a-b). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a\mid b+1}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsLet (A={1,2,3,4,5,6}) and (R={(a,b)\in A\times A:a+b\text{ is divisible by }4}). What is the minimum number of pairs required to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). How many diagonal pairs are already in (R)?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):a+b\leq 6}), how many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a<b}). Which set of pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn the set (A={p,q,r,s}), which of the following relations is definitely reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn A = {1, 2, 3}, let R = (A × A) \ {(1, 2), (2, 3)}. What is R?Class 12Relations and FunctionsReflexive relationLevel 9Medium MathematicsFor a reflexive relation on an n-element set A, how many ordered pairs are necessarily present before any optional pairs are added?Class 12Relations and FunctionsReflexive relationLevel 9Easy MathematicsIf (A={1,2,3}), which pairs are compulsory for a reflexive relation on (A)?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsFor a five-element set A, how many symmetric relations on A contain no diagonal ordered pair (a,a)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard