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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={1,2,3,4,5,6}), (aRb) when (a) and (b) leave the same remainder on division by (3). How many equivalence classes does (R) form?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn integers, (aRb) when (a \equiv b \pmod{3}). What type of relation is this?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn the set of integers, (aRb) is defined when (a-b) is divisible by (3). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R) is defined by (a \equiv b \pmod{2}). What type of relation is it?Class 12Relations and FunctionsSymmetric relationExpert MathematicsIf (R={(a,b):a\equiv b \pmod{3}}) is defined on integers, what is true about (R)?Class 12Relations and FunctionsSymmetric relationExpert MathematicsIf (A={1,2,3,4,5,6,7}) and (R={(a,b):a\equiv 3b \pmod{4}}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={0,1,2,3,4,5}), (R={(a,b):a^2\equiv b \pmod{5}}). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a\equiv 2b \pmod{3}}), how many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={0,1,2,3,4}), (R={(a,b):a^2\equiv b^2 \pmod{4}}). What is the correct reason for (R) being reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a^2\equiv b^2 \pmod{3}}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b+1 \pmod{2}}). What is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{2}}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a \equiv b \pmod{2}}). Choose the correct option about (R).Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={0,1,2}), (R={(a,b):a+b\text{ is divisible by }3}) is given. How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationHard MathematicsOn integers, (R={(a,b):a \equiv b \pmod{3}}). What is correct about (R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), (R={(a,b):a+b\equiv 1 \pmod{2}}). What is (R)?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a-b\equiv 0 \pmod{3}}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a) and (b) have the same remainder when divided by (2)(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationEasy MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) have the same remainder when divided by (3). How many equivalence classes are formed?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{3}). What is the equivalence class of (1)?Class 12Relations and FunctionsTypes of relationsExpert