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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, 2, 3}, let R = {(a, b) : a² = b²}. Is R reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Medium MathematicsWhich statement is always true?Class 12Relations and FunctionsReflexive relationLevel 9Medium MathematicsIf (A={1,2,3,4}) and (R) is a reflexive relation, what are the minimum and maximum possible numbers of pairs in (R)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b+1}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsIf (A={1,2,3}) and (R) is defined by (aRb) when (a=b) or (a+b=5), what is (R)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(a,b):a) and (b) leave the same remainder when divided by (2)(}). Which pair will definitely be in (R)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). Choose the correct statement for (R).Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(a,b):a^2-b^2=0}). Why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(a,b):a^2+b^2=2ab}). Which statement is correct about (R)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is divisible by }4}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsIf (R) is reflexive on (A), what can be said about (I_A\subseteq R)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(a,b):a+b\text{ is divisible by }2}) and (S={(a,b):a=b}). Which statement is correct?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a\equiv b \pmod{3}}). Which statement is sufficient to show that (R) is reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(a,b):a) and (b) have the same parity(}). Is (R) reflexive or not?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(a,b):|a-b|\ge 0}). Choose the correct answer about (R).Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R) is reflexive. If (R) has (5) pairs in total, how many extra pairs are there besides self-pairs?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). What kind of subset of (A\times A) can (R) be called?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\ge 2}). What is correct about (R)?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn A = {1, 2, 3}, let R = {(a, b) : a + b = 4}. Why is R not reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a\equiv b \pmod{2}}). What is the reason that (R) is reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium