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Reflexive Relation

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

MathematicsOn (A={-1,0,1}), (R={(a,b):a^2=b^2}). Which statement is correct about (R)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(a,b):a^2=b^2}). Choose the correct reason for (R) being reflexive.Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which statement about (R^{-1}) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={a,b,c}), (R={(a,a),(b,b),(c,c),(a,b)}) and (S={(a,a),(b,c),(c,c)}). What is correct about (R\cap S)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b}). Which property is definitely present in (R)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsIf (A={2,3,4,6}) and (R={(a,b):a\text{ divides }b}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsIf (R={(a,b):a+b\text{ is even}}) on (A={1,2,3,4}), what is the correct reason that (R) is reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R) is reflexive and ((1,2)\notin R). Which conclusion is correct?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3,4}), (R) is reflexive and has 7 total pairs. What is the maximum number of non-diagonal pairs in (R)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf (R) is reflexive on (A), which relation between the identity relation (I_A={(a,a):a\in A}) and (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3}), (R={(a,b):a+b\ge 2}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|) is even(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3}), (R={(a,b):a) and (b) have the same parity(}). Why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\le 8}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={-1,0,1}), (R={(a,b):a^2=b^2}). Which statement is correct for (R)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3}), (R={(a,b):a^2=b^2}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3,4}), what is the number of reflexive relations with exactly 6 pairs?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3}), how many reflexive relations with exactly 5 pairs are possible?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf (R) is a reflexive relation on (A={1,2,3}) with exactly 4 pairs, how many of those 4 pairs must be self-pairs?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3}), (R=A\times A-{(1,2),(2,3)}). What is (R)?Class 12Relations and FunctionsReflexive relationLevel 7Medium